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Question

State True or False.
8a3+b3+12a2b+6ab2 = (2a+b)(2a+b)(2a+b)

A
True
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B
False
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Solution

The correct option is A True
We have, 8a3+b3+12a2b+6ab2=(2a)3+(b)3+6ab(2a+b)
Using, (a+b)3=a3+b3+3ab(a+b)
=(2a)3+(b)3+3(2a)(b)(2a+b)
=(2a+b)3
=(2a+b)(2a+b)(2a+b)

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