Question

Factorise the following
$(1) x ^{4} - y ^{4}$
​

Answer 1

Answer:

(x-2)(x+2)(x²+y²)

Explanation:

We know the algebraic identity:

a²-b² = (a-b)(a+b)

It is given that,

Factorising x⁴-y⁴

= (x²)²-(y²)²

= (x²-y²)(x²+y²)

Applying identity again , we get

= (x-y)(x+y)(x²+y²)

Therefore,

x⁴-y⁴ = (x-y)(x+y)(x²+y²)