Question
Simplify the expression
−15a8b2+30a3bc+15a7b4−30a2b3c
Evaluate
(3a−3b2)(−5a2b)(a5b−2c)
Multiply the first two terms
−5a2b(3a−3b2)(a5b−2c)
Multiply the terms
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Evaluate
−5a2b(3a−3b2)
Apply the distributive property
−5a2b×3a−(−5a2b×3b2)
Multiply the terms
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Evaluate
−5a2b×3a
Multiply the numbers
−15a2ba
Multiply the terms
−15a3b
−15a3b−(−5a2b×3b2)
Multiply the terms
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Evaluate
−5a2b×3b2
Multiply the numbers
−15a2b×b2
Multiply the terms
−15a2b3
−15a3b−(−15a2b3)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−15a3b+15a2b3
(−15a3b+15a2b3)(a5b−2c)
Apply the distributive property
−15a3ba5b−(−15a3b×2c)+15a2b3a5b−15a2b3×2c
Multiply the terms
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Evaluate
−15a3ba5b
Multiply the terms
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Evaluate
a3×a5
Use the product rule an×am=an+m to simplify the expression
a3+5
Add the numbers
a8
−15a8b×b
Multiply the terms
−15a8b2
−15a8b2−(−15a3b×2c)+15a2b3a5b−15a2b3×2c
Multiply the numbers
−15a8b2−(−30a3bc)+15a2b3a5b−15a2b3×2c
Multiply the terms
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Evaluate
15a2b3a5b
Multiply the terms
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Evaluate
a2×a5
Use the product rule an×am=an+m to simplify the expression
a2+5
Add the numbers
a7
15a7b3×b
Multiply the terms
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Evaluate
b3×b
Use the product rule an×am=an+m to simplify the expression
b3+1
Add the numbers
b4
15a7b4
−15a8b2−(−30a3bc)+15a7b4−15a2b3×2c
Multiply the numbers
−15a8b2−(−30a3bc)+15a7b4−30a2b3c
Solution
−15a8b2+30a3bc+15a7b4−30a2b3c
Show Solution

Factor the expression
15a2b(−a+b2)(a5b−2c)
Evaluate
(3a−3b2)(−5a2b)(a5b−2c)
Multiply the first two terms
−5a2b(3a−3b2)(a5b−2c)
Factor the expression
−5a2b(−3)(−a+b2)(a5b−2c)
Solution
15a2b(−a+b2)(a5b−2c)
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