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Question

Evaluate:
(2ab)(2a+b)(4a2+b2) is 16a4b4.
If true, then enter 1 and if false, then enter 0.

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Solution

Given, (2ab)(2a+b)(4a2+b2).

We know, (a+b)(ab) =(a2b2).

Multiply by using direct method, we get,
(2ab)(2a+b)(4a2+b2)=[(2a)2b2](4a2+b2)
=(4a2b2)(4a2+b2) =(4a2+b2)(4a2b2).
Now, by using formula (a2b2)=(a+b)(ab), we get,
=(((4a)2)2(b2)2)
=16a4b4.

Hence, the statement is true.
Therefore, 1 is the correct answer.

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