Question

factorise it please​

Answer 1

Answer

Refer the above attachment

Answer 2

Required Answer:-

Given to factorise:

• x⁴ - y⁴ + x² - y²

Solution:

We have,

x⁴ - y⁴ + x² - y²

= (x)² - (y²)² + x² - y²

We know that a² - b² = (a + b)(a - b). So,

= (x² + y²)(x² - y²) + 1(x² - y²)

Taking x² - y² as common, we get,

= (x² - y²)(x² + y² + 1)

Factorise x² - y² using identity,

= (x + y)(x - y)(x² + y² + 1)

★ Hence, the factorised form is (x + y)(x - y)(x² + y² + 1)

Answer:

• Factorised form - (x + y)(x - y)(x² + y² + 1)