Question

factorise 2x (x² + y²) - 4y (x² + y²)​

Answer 1

Step-by-step explanation:

Given :-

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

To find:-

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

Solution:-

Given expression is

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

On taking x^2+y^2 as Common

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

on taking 2 as Common

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

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

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

Answer:-

.The factorization of the given expression

is 2(x^2+y^2)(x-2y)

Factorization:-

Expressing the given expression as the product of factors is called factorization and expressing the given term as the product of primes is called prime factorization.