Question

Factorise x power 4 minus y power 4

Answer 1

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

Answer 2

Answer:

(x-2)(x+2)(x²+y²)

Explanation:

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We know the algebraic identity:

a²-b² = (a-b)(a+b)

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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)

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