Question

Factorize 81x4 + 36x²y²+ 16y4
Solution​

Answer 1

Answer:

We will use an identity to solve this question.

A²+ 2ab+ b²= (a+b)²

⇒ 81x⁴+ 36x²y²+ 16y⁴

= (9x²)²+ 2(4y²)²(9x²)²

= (9x²+ 4y²)²

= (9x²+ 4y²)(9x²+4y²) Ans

Please Note:- I think there is an error in your question. Instead of 36x²y², it should be 72x²y².

Hope it helps.

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