Question
Simplify the expression
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5+4a6b6c4−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7+4a4b6c6−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5+4a6b4c4−2a5b5c3+a4b4c8−2a3b5c7+a2b6c6−2a5b3c7+4a4b4c6−2a3b5c5+a6b2c6−2a5b3c5+a4b4c4
Evaluate
(abc)2(ab−c)2(bc−a)2(ca−b)2
Multiply the terms
(abc(ab−c))2(bc−a)2(ca−b)2
Multiply the terms
(abc(ab−c)(bc−a))2(ca−b)2
Multiply the terms
(abc(ab−c)(bc−a)(ca−b))2
Evaluate the power
a2b2c2(ab−c)2(bc−a)2(ca−b)2
Evaluate the power
a2b2c2(a2b2−2abc+c2)(bc−a)2(ca−b)2
Evaluate the power
a2b2c2(a2b2−2abc+c2)(b2c2−2bca+a2)(ca−b)2
Evaluate the power
a2b2c2(a2b2−2abc+c2)(b2c2−2bca+a2)(c2a2−2cab+b2)
Multiply the terms
More Steps

Evaluate
a2b2c2(a2b2−2abc+c2)
Apply the distributive property
a2b2c2a2b2−a2b2c2×2abc+a2b2c2×c2
Multiply the terms
More Steps

Evaluate
a2b2c2a2b2
Multiply the terms
a4b2c2b2
Multiply the terms
a4b4c2
a4b4c2−a2b2c2×2abc+a2b2c2×c2
Multiply the terms
More Steps

Evaluate
a2b2c2×2abc
Use the commutative property to reorder the terms
2a2b2c2abc
Multiply the terms
2a3b2c2bc
Multiply the terms
2a3b3c2×c
Multiply the terms
2a3b3c3
a4b4c2−2a3b3c3+a2b2c2×c2
Multiply the terms
More Steps

Evaluate
c2×c2
Use the product rule an×am=an+m to simplify the expression
c2+2
Add the numbers
c4
a4b4c2−2a3b3c3+a2b2c4
(a4b4c2−2a3b3c3+a2b2c4)(b2c2−2bca+a2)(c2a2−2cab+b2)
Multiply the terms
More Steps

Evaluate
(a4b4c2−2a3b3c3+a2b2c4)(b2c2−2bca+a2)
Apply the distributive property
a4b4c2b2c2−a4b4c2×2bca+a4b4c2a2−2a3b3c3b2c2−(−2a3b3c3×2bca)−2a3b3c3a2+a2b2c4b2c2−a2b2c4×2bca+a2b2c4a2
Multiply the terms
More Steps

Evaluate
a4b4c2b2c2
Multiply the terms
a4b6c2×c2
Multiply the terms
a4b6c4
a4b6c4−a4b4c2×2bca+a4b4c2a2−2a3b3c3b2c2−(−2a3b3c3×2bca)−2a3b3c3a2+a2b2c4b2c2−a2b2c4×2bca+a2b2c4a2
Multiply the terms
More Steps

Evaluate
a4b4c2×2bca
Use the commutative property to reorder the terms
2a4b4c2bca
Multiply the terms
2a4b5c2×ca
Multiply the terms
2a4b5c3a
Multiply the terms
2a5b5c3
a4b6c4−2a5b5c3+a4b4c2a2−2a3b3c3b2c2−(−2a3b3c3×2bca)−2a3b3c3a2+a2b2c4b2c2−a2b2c4×2bca+a2b2c4a2
Multiply the terms
More Steps

Evaluate
a4×a2
Use the product rule an×am=an+m to simplify the expression
a4+2
Add the numbers
a6
a4b6c4−2a5b5c3+a6b4c2−2a3b3c3b2c2−(−2a3b3c3×2bca)−2a3b3c3a2+a2b2c4b2c2−a2b2c4×2bca+a2b2c4a2
Multiply the terms
More Steps

Evaluate
−2a3b3c3b2c2
Multiply the terms
−2a3b5c3×c2
Multiply the terms
−2a3b5c5
a4b6c4−2a5b5c3+a6b4c2−2a3b5c5−(−2a3b3c3×2bca)−2a3b3c3a2+a2b2c4b2c2−a2b2c4×2bca+a2b2c4a2
Multiply the terms
More Steps

Evaluate
−2a3b3c3×2bca
Multiply the numbers
−4a3b3c3bca
Multiply the terms
−4a3b4c3×ca
Multiply the terms
−4a3b4c4a
Multiply the terms
−4a4b4c4
a4b6c4−2a5b5c3+a6b4c2−2a3b5c5−(−4a4b4c4)−2a3b3c3a2+a2b2c4b2c2−a2b2c4×2bca+a2b2c4a2
Multiply the terms
More Steps

Evaluate
a3×a2
Use the product rule an×am=an+m to simplify the expression
a3+2
Add the numbers
a5
a4b6c4−2a5b5c3+a6b4c2−2a3b5c5−(−4a4b4c4)−2a5b3c3+a2b2c4b2c2−a2b2c4×2bca+a2b2c4a2
Multiply the terms
More Steps

Evaluate
a2b2c4b2c2
Multiply the terms
a2b4c4×c2
Multiply the terms
a2b4c6
a4b6c4−2a5b5c3+a6b4c2−2a3b5c5−(−4a4b4c4)−2a5b3c3+a2b4c6−a2b2c4×2bca+a2b2c4a2
Multiply the terms
More Steps

Evaluate
a2b2c4×2bca
Use the commutative property to reorder the terms
2a2b2c4bca
Multiply the terms
2a2b3c4×ca
Multiply the terms
2a2b3c5a
Multiply the terms
2a3b3c5
a4b6c4−2a5b5c3+a6b4c2−2a3b5c5−(−4a4b4c4)−2a5b3c3+a2b4c6−2a3b3c5+a2b2c4a2
Multiply the terms
More Steps

Evaluate
a2×a2
Use the product rule an×am=an+m to simplify the expression
a2+2
Add the numbers
a4
a4b6c4−2a5b5c3+a6b4c2−2a3b5c5−(−4a4b4c4)−2a5b3c3+a2b4c6−2a3b3c5+a4b2c4
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
a4b6c4−2a5b5c3+a6b4c2−2a3b5c5+4a4b4c4−2a5b3c3+a2b4c6−2a3b3c5+a4b2c4
(a4b6c4−2a5b5c3+a6b4c2−2a3b5c5+4a4b4c4−2a5b3c3+a2b4c6−2a3b3c5+a4b2c4)(c2a2−2cab+b2)
Apply the distributive property
a4b6c4×c2a2−a4b6c4×2cab+a4b6c4b2−2a5b5c3×c2a2−(−2a5b5c3×2cab)−2a5b5c3b2+a6b4c2×c2a2−a6b4c2×2cab+a6b4c2b2−2a3b5c5×c2a2−(−2a3b5c5×2cab)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
a4b6c4×c2a2
Multiply the terms
More Steps

Evaluate
c4×c2
Use the product rule an×am=an+m to simplify the expression
c4+2
Add the numbers
c6
a4b6c6a2
Multiply the terms
More Steps

Evaluate
a4×a2
Use the product rule an×am=an+m to simplify the expression
a4+2
Add the numbers
a6
a6b6c6
a6b6c6−a4b6c4×2cab+a4b6c4b2−2a5b5c3×c2a2−(−2a5b5c3×2cab)−2a5b5c3b2+a6b4c2×c2a2−a6b4c2×2cab+a6b4c2b2−2a3b5c5×c2a2−(−2a3b5c5×2cab)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
a4b6c4×2cab
Use the commutative property to reorder the terms
2a4b6c4×cab
Multiply the terms
More Steps

Evaluate
c4×c
Use the product rule an×am=an+m to simplify the expression
c4+1
Add the numbers
c5
2a4b6c5ab
Multiply the terms
More Steps

Evaluate
a4×a
Use the product rule an×am=an+m to simplify the expression
a4+1
Add the numbers
a5
2a5b6c5b
Multiply the terms
More Steps

Evaluate
b6×b
Use the product rule an×am=an+m to simplify the expression
b6+1
Add the numbers
b7
2a5b7c5
a6b6c6−2a5b7c5+a4b6c4b2−2a5b5c3×c2a2−(−2a5b5c3×2cab)−2a5b5c3b2+a6b4c2×c2a2−a6b4c2×2cab+a6b4c2b2−2a3b5c5×c2a2−(−2a3b5c5×2cab)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
b6×b2
Use the product rule an×am=an+m to simplify the expression
b6+2
Add the numbers
b8
a6b6c6−2a5b7c5+a4b8c4−2a5b5c3×c2a2−(−2a5b5c3×2cab)−2a5b5c3b2+a6b4c2×c2a2−a6b4c2×2cab+a6b4c2b2−2a3b5c5×c2a2−(−2a3b5c5×2cab)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
−2a5b5c3×c2a2
Multiply the terms
More Steps

Evaluate
c3×c2
Use the product rule an×am=an+m to simplify the expression
c3+2
Add the numbers
c5
−2a5b5c5a2
Multiply the terms
More Steps

Evaluate
a5×a2
Use the product rule an×am=an+m to simplify the expression
a5+2
Add the numbers
a7
−2a7b5c5
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−2a5b5c3×2cab)−2a5b5c3b2+a6b4c2×c2a2−a6b4c2×2cab+a6b4c2b2−2a3b5c5×c2a2−(−2a3b5c5×2cab)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
−2a5b5c3×2cab
Multiply the numbers
−4a5b5c3×cab
Multiply the terms
More Steps

Evaluate
c3×c
Use the product rule an×am=an+m to simplify the expression
c3+1
Add the numbers
c4
−4a5b5c4ab
Multiply the terms
More Steps

Evaluate
a5×a
Use the product rule an×am=an+m to simplify the expression
a5+1
Add the numbers
a6
−4a6b5c4b
Multiply the terms
More Steps

Evaluate
b5×b
Use the product rule an×am=an+m to simplify the expression
b5+1
Add the numbers
b6
−4a6b6c4
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b5c3b2+a6b4c2×c2a2−a6b4c2×2cab+a6b4c2b2−2a3b5c5×c2a2−(−2a3b5c5×2cab)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
b5×b2
Use the product rule an×am=an+m to simplify the expression
b5+2
Add the numbers
b7
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a6b4c2×c2a2−a6b4c2×2cab+a6b4c2b2−2a3b5c5×c2a2−(−2a3b5c5×2cab)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
a6b4c2×c2a2
Multiply the terms
More Steps

Evaluate
c2×c2
Use the product rule an×am=an+m to simplify the expression
c2+2
Add the numbers
c4
a6b4c4a2
Multiply the terms
More Steps

Evaluate
a6×a2
Use the product rule an×am=an+m to simplify the expression
a6+2
Add the numbers
a8
a8b4c4
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−a6b4c2×2cab+a6b4c2b2−2a3b5c5×c2a2−(−2a3b5c5×2cab)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
a6b4c2×2cab
Use the commutative property to reorder the terms
2a6b4c2×cab
Multiply the terms
More Steps

Evaluate
c2×c
Use the product rule an×am=an+m to simplify the expression
c2+1
Add the numbers
c3
2a6b4c3ab
Multiply the terms
More Steps

Evaluate
a6×a
Use the product rule an×am=an+m to simplify the expression
a6+1
Add the numbers
a7
2a7b4c3b
Multiply the terms
More Steps

Evaluate
b4×b
Use the product rule an×am=an+m to simplify the expression
b4+1
Add the numbers
b5
2a7b5c3
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b4c2b2−2a3b5c5×c2a2−(−2a3b5c5×2cab)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
b4×b2
Use the product rule an×am=an+m to simplify the expression
b4+2
Add the numbers
b6
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a3b5c5×c2a2−(−2a3b5c5×2cab)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
−2a3b5c5×c2a2
Multiply the terms
More Steps

Evaluate
c5×c2
Use the product rule an×am=an+m to simplify the expression
c5+2
Add the numbers
c7
−2a3b5c7a2
Multiply the terms
More Steps

Evaluate
a3×a2
Use the product rule an×am=an+m to simplify the expression
a3+2
Add the numbers
a5
−2a5b5c7
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−2a3b5c5×2cab)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
−2a3b5c5×2cab
Multiply the numbers
−4a3b5c5×cab
Multiply the terms
More Steps

Evaluate
c5×c
Use the product rule an×am=an+m to simplify the expression
c5+1
Add the numbers
c6
−4a3b5c6ab
Multiply the terms
More Steps

Evaluate
a3×a
Use the product rule an×am=an+m to simplify the expression
a3+1
Add the numbers
a4
−4a4b5c6b
Multiply the terms
More Steps

Evaluate
b5×b
Use the product rule an×am=an+m to simplify the expression
b5+1
Add the numbers
b6
−4a4b6c6
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b5c5b2+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
b5×b2
Use the product rule an×am=an+m to simplify the expression
b5+2
Add the numbers
b7
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a4b4c4×c2a2−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
4a4b4c4×c2a2
Multiply the terms
More Steps

Evaluate
c4×c2
Use the product rule an×am=an+m to simplify the expression
c4+2
Add the numbers
c6
4a4b4c6a2
Multiply the terms
More Steps

Evaluate
a4×a2
Use the product rule an×am=an+m to simplify the expression
a4+2
Add the numbers
a6
4a6b4c6
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−4a4b4c4×2cab+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
4a4b4c4×2cab
Multiply the numbers
8a4b4c4×cab
Multiply the terms
More Steps

Evaluate
c4×c
Use the product rule an×am=an+m to simplify the expression
c4+1
Add the numbers
c5
8a4b4c5ab
Multiply the terms
More Steps

Evaluate
a4×a
Use the product rule an×am=an+m to simplify the expression
a4+1
Add the numbers
a5
8a5b4c5b
Multiply the terms
More Steps

Evaluate
b4×b
Use the product rule an×am=an+m to simplify the expression
b4+1
Add the numbers
b5
8a5b5c5
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b4c4b2−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
b4×b2
Use the product rule an×am=an+m to simplify the expression
b4+2
Add the numbers
b6
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a5b3c3×c2a2−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
−2a5b3c3×c2a2
Multiply the terms
More Steps

Evaluate
c3×c2
Use the product rule an×am=an+m to simplify the expression
c3+2
Add the numbers
c5
−2a5b3c5a2
Multiply the terms
More Steps

Evaluate
a5×a2
Use the product rule an×am=an+m to simplify the expression
a5+2
Add the numbers
a7
−2a7b3c5
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−2a5b3c3×2cab)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
−2a5b3c3×2cab
Multiply the numbers
−4a5b3c3×cab
Multiply the terms
More Steps

Evaluate
c3×c
Use the product rule an×am=an+m to simplify the expression
c3+1
Add the numbers
c4
−4a5b3c4ab
Multiply the terms
More Steps

Evaluate
a5×a
Use the product rule an×am=an+m to simplify the expression
a5+1
Add the numbers
a6
−4a6b3c4b
Multiply the terms
More Steps

Evaluate
b3×b
Use the product rule an×am=an+m to simplify the expression
b3+1
Add the numbers
b4
−4a6b4c4
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−4a6b4c4)−2a5b3c3b2+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
b3×b2
Use the product rule an×am=an+m to simplify the expression
b3+2
Add the numbers
b5
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−4a6b4c4)−2a5b5c3+a2b4c6×c2a2−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
a2b4c6×c2a2
Multiply the terms
More Steps

Evaluate
c6×c2
Use the product rule an×am=an+m to simplify the expression
c6+2
Add the numbers
c8
a2b4c8a2
Multiply the terms
More Steps

Evaluate
a2×a2
Use the product rule an×am=an+m to simplify the expression
a2+2
Add the numbers
a4
a4b4c8
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−4a6b4c4)−2a5b5c3+a4b4c8−a2b4c6×2cab+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
a2b4c6×2cab
Use the commutative property to reorder the terms
2a2b4c6×cab
Multiply the terms
More Steps

Evaluate
c6×c
Use the product rule an×am=an+m to simplify the expression
c6+1
Add the numbers
c7
2a2b4c7ab
Multiply the terms
More Steps

Evaluate
a2×a
Use the product rule an×am=an+m to simplify the expression
a2+1
Add the numbers
a3
2a3b4c7b
Multiply the terms
More Steps

Evaluate
b4×b
Use the product rule an×am=an+m to simplify the expression
b4+1
Add the numbers
b5
2a3b5c7
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−4a6b4c4)−2a5b5c3+a4b4c8−2a3b5c7+a2b4c6b2−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
b4×b2
Use the product rule an×am=an+m to simplify the expression
b4+2
Add the numbers
b6
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−4a6b4c4)−2a5b5c3+a4b4c8−2a3b5c7+a2b6c6−2a3b3c5×c2a2−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
−2a3b3c5×c2a2
Multiply the terms
More Steps

Evaluate
c5×c2
Use the product rule an×am=an+m to simplify the expression
c5+2
Add the numbers
c7
−2a3b3c7a2
Multiply the terms
More Steps

Evaluate
a3×a2
Use the product rule an×am=an+m to simplify the expression
a3+2
Add the numbers
a5
−2a5b3c7
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−4a6b4c4)−2a5b5c3+a4b4c8−2a3b5c7+a2b6c6−2a5b3c7−(−2a3b3c5×2cab)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
−2a3b3c5×2cab
Multiply the numbers
−4a3b3c5×cab
Multiply the terms
More Steps

Evaluate
c5×c
Use the product rule an×am=an+m to simplify the expression
c5+1
Add the numbers
c6
−4a3b3c6ab
Multiply the terms
More Steps

Evaluate
a3×a
Use the product rule an×am=an+m to simplify the expression
a3+1
Add the numbers
a4
−4a4b3c6b
Multiply the terms
More Steps

Evaluate
b3×b
Use the product rule an×am=an+m to simplify the expression
b3+1
Add the numbers
b4
−4a4b4c6
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−4a6b4c4)−2a5b5c3+a4b4c8−2a3b5c7+a2b6c6−2a5b3c7−(−4a4b4c6)−2a3b3c5b2+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
b3×b2
Use the product rule an×am=an+m to simplify the expression
b3+2
Add the numbers
b5
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−4a6b4c4)−2a5b5c3+a4b4c8−2a3b5c7+a2b6c6−2a5b3c7−(−4a4b4c6)−2a3b5c5+a4b2c4×c2a2−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
a4b2c4×c2a2
Multiply the terms
More Steps

Evaluate
c4×c2
Use the product rule an×am=an+m to simplify the expression
c4+2
Add the numbers
c6
a4b2c6a2
Multiply the terms
More Steps

Evaluate
a4×a2
Use the product rule an×am=an+m to simplify the expression
a4+2
Add the numbers
a6
a6b2c6
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−4a6b4c4)−2a5b5c3+a4b4c8−2a3b5c7+a2b6c6−2a5b3c7−(−4a4b4c6)−2a3b5c5+a6b2c6−a4b2c4×2cab+a4b2c4b2
Multiply the terms
More Steps

Evaluate
a4b2c4×2cab
Use the commutative property to reorder the terms
2a4b2c4×cab
Multiply the terms
More Steps

Evaluate
c4×c
Use the product rule an×am=an+m to simplify the expression
c4+1
Add the numbers
c5
2a4b2c5ab
Multiply the terms
More Steps

Evaluate
a4×a
Use the product rule an×am=an+m to simplify the expression
a4+1
Add the numbers
a5
2a5b2c5b
Multiply the terms
More Steps

Evaluate
b2×b
Use the product rule an×am=an+m to simplify the expression
b2+1
Add the numbers
b3
2a5b3c5
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−4a6b4c4)−2a5b5c3+a4b4c8−2a3b5c7+a2b6c6−2a5b3c7−(−4a4b4c6)−2a3b5c5+a6b2c6−2a5b3c5+a4b2c4b2
Multiply the terms
More Steps

Evaluate
b2×b2
Use the product rule an×am=an+m to simplify the expression
b2+2
Add the numbers
b4
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5−(−4a6b6c4)−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7−(−4a4b6c6)−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5−(−4a6b4c4)−2a5b5c3+a4b4c8−2a3b5c7+a2b6c6−2a5b3c7−(−4a4b4c6)−2a3b5c5+a6b2c6−2a5b3c5+a4b4c4
Solution
a6b6c6−2a5b7c5+a4b8c4−2a7b5c5+4a6b6c4−2a5b7c3+a8b4c4−2a7b5c3+a6b6c2−2a5b5c7+4a4b6c6−2a3b7c5+4a6b4c6−8a5b5c5+4a4b6c4−2a7b3c5+4a6b4c4−2a5b5c3+a4b4c8−2a3b5c7+a2b6c6−2a5b3c7+4a4b4c6−2a3b5c5+a6b2c6−2a5b3c5+a4b4c4
Show Solution
