Question

factorise the following by using suitable identities x⁴-x⁴y⁴​

Answer 1

First we take x^4 as common and then factorise 1- y^4 by using the property of (a^2 - b^2) = (a-b) (a+b)

Answer 2

Since both terms are perfect squares, factor using the difference of squares formula, a²−b²=(a+b)(a−b) where a=1 and b=y².

x⁴(1+y²)(1+y)(1−y)