Question

Factorise by using suitable identity:

(a) x4 – y
4​

Answer 1

Step-by-step explanation:

Given expression is x⁴-y⁴

It can be written as (x²)²-(y²)²

This is in the form of a²-b²

here, a=x² and b=y²

We know that a²-b²=(a+b)(a-b)

(x²)²-(y²)²=(x²+y²)(x²-y²)

=>(x²+y²)(x+y(x-y)

x⁴-y⁴=(x+y)(x-y)(x²+y²)

Answer 2

Answer:

4 (x - y)

Step-by-step explanation:

$= (x \times 4) - (y \times 4) \\ = 4(x - y)$