Question

Factorise (x ^ 2 + 1) * y - x ^ 2 - y ^ 2 . ​

Answer 1

Required Answer:-

Given To Factorise:

• (x² + 1) × y - x² - y²

Solution:

Given,

= y(x² + 1) - x² - y²

= x²y + y - x² - y²

On rearranging the terms, we get,

= x²y - x² - y² + y

= x²(y - 1) - y(y - 1) [Taking x² and -y as common]

= (y - 1)(x² - y)

= (x² - y)(y - 1)

→ Hence, the factorised form is - (x² - y)(y - 1)

Answer:

• (x² - y)(y - 1)

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