Question
Simplify the expression
a4b2−2a3b3+a2b4
Evaluate
(ab)2(a−b)2
Evaluate the power
a2b2(a−b)2
Evaluate the power
a2b2(a2−2ab+b2)
Apply the distributive property
a2b2a2−a2b2×2ab+a2b2×b2
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
a4b2−a2b2×2ab+a2b2×b2
Multiply the terms
More Steps

Evaluate
a2b2×2ab
Use the commutative property to reorder the terms
2a2b2ab
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
2a3b2×b
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
2a3b3
a4b2−2a3b3+a2b2×b2
Solution
More Steps

Evaluate
b2×b2
Use the product rule an×am=an+m to simplify the expression
b2+2
Add the numbers
b4
a4b2−2a3b3+a2b4
Show Solution
