Question

6. Factorise x² + y - xy-x​

Answer 1

$\huge\sf\red{Answer:}$

☆ Given:

⇒ $\sf x^2 + y - xy - x$

☆ Find:

⇒ Factorise the given equation.

☆ Step-by-Step-Explanation:

⇒ $\sf (x^2 - x) + (y - xy)$

⇒ $\sf x(x -1) + y( 1 - x )$

⇒ $\sf x(x -1) - y(x -1)$

⇒ ${\sf{\underline{\boxed{\green{\sf{ (x -1)(x - y)}}}}}}$

Answer 2

Answer:

first we have to segregate the terms;

it becomes :

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

by factorising

x(x-1) + y(x-y)

at last it becomes

(x+y) (x-1)