Question

let us factorised the following: 1) 81x⁴+4y⁴​

Answer 1

Answer:

Hmm

Your answer is in the attachment

Answer 2

Answer:

Given: 81x ^ 4 - y ^ 4

We can further write it as

81x ^ 4 - y ^ 4 = (9x ^ 2) ^ 2 - (y ^ 2) ^ 2

Based on the equation

1a^ 2 -b^ 2 =(a+ b)(a-b)

We get,

81x ^ 4 - y ^ 4 = (9x ^ 2 + y ^ 2)(9x ^ 2 - y ^ 2)

On further simplification using the formula

81x ^ 4 - y ^ 4 = (9x ^ 2 + y ^ 2)((3x ^ 2) ^ 2 - y ^ 2) So we get,

81x ^ 4 - y ^ 4 = (9x ^ 2 + y ^ 2)(3x + y) * (3x - y)

I hope this helps