Question

Question 1. Factorize: x2 - y + xy - x​

Answer 1

x2-y+xy-x = ?????????????

Answer 2

Given equation is,

$x^{2} -y+xy-x$

Now we have to factorize the given equation.

Rearrange the equation to take some common expressions.

$x^{2} +xy-x-y$

Take $x$ common in first two terms and $-1$ in last two terms.

we get,

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

Also take $(x+y)$ common in both the terms.

We get,

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

Therefore, the final answer after factorization is $(x+y)(x-1)$