Question

6. Factorise x2 + y – xy – x

Answer 1

Answer:

We write

x2+y−xy−x = (x2 −xy)+(y−x) = x(x−y)−1(x−y) = (x−1)(x−y)

We get factors as x−1 and x−y.

Answer 2

Answer:

factors of   x² + y -xy - x  :   (x - 1)(x - y)

Step-by-step explanation:

we have to factorize x² + y -xy - x

so let's do that:

[x² + y -xy - x]

= x² - x +y -xy

take 'x' common from first two terms of above

= x (x - 1) + y - xy

take 'y' common from last two terms of above statement.

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

let's rearrange:

= x(x - 1) - y(x -1)

= (x - 1)(x - y)

factors of   x² + y -xy - x  :   (x - 1)(x - y)