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Question

Evaluate:
(3x4y)(3x+4y)(9x2+16y2) is equal to 81x4256y4.
If true then enter 1 and if false then enter 0.

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Solution

Given, (3x4y)(3x+4y)(9x2+16y2).

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

Multiply by using direct method, we get,
(3x4y)(3x+4y)(9x2+16y2)=[(3x)2(4y)2](9x2+16y2)
=(9x216y2)(9x2+16y2) =(9x2+16y2)(9x216y2).
Now, by using formula (a2b2)=(a+b)(ab), we get,
=((9x2)2(16y2)2)
=81x4256y4.

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

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