Question
Simplify the expression
38416a8b3−27440a7b4
Evaluate
(7a−5b)×7a5b(4a×7b)2
Multiply the terms
(7a−5b)×7a5b(28ab)2
Multiply the terms
More Steps

Evaluate
7a5b(28ab)2
Rewrite the expression
7a5b×784a2b2
Multiply the numbers
5488a5ba2b2
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
5488a7b×b2
Multiply the terms
More Steps

Evaluate
b×b2
Use the product rule an×am=an+m to simplify the expression
b1+2
Add the numbers
b3
5488a7b3
(7a−5b)×5488a7b3
Multiply the terms
5488a7b3(7a−5b)
Apply the distributive property
5488a7b3×7a−5488a7b3×5b
Multiply the terms
More Steps

Evaluate
5488a7b3×7a
Multiply the numbers
38416a7b3a
Multiply the terms
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Evaluate
a7×a
Use the product rule an×am=an+m to simplify the expression
a7+1
Add the numbers
a8
38416a8b3
38416a8b3−5488a7b3×5b
Solution
More Steps

Evaluate
5488a7b3×5b
Multiply the numbers
27440a7b3×b
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
27440a7b4
38416a8b3−27440a7b4
Show Solution
