Question

factorise:-
x^2 + y - xy - x
​

Answer 1

Answer:

(x-1)(x-y)

Step-by-step explanation:

x^2+y-xy-x

on rearranging,

x^2-xy+y-x

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

(x-1)(x-y)

Answer 2

Answer:

$\large\boxed{(-1+x)(x-y)}$

Step-by-step explanation:

To solve this problem, first you have to find the factors of x²+y-xy-x. Therefore, there are distributive property is always to used that.

$\large\boxed{\textnormal{Distributive property}}$

$\displaystyle a(b+c)=ab+ac$

Given:

First, solve by the factor.

$\large\boxed{\textnormal{Exponent Rule}}$

$\displaystyle a^b^+^c=a^ba^c$

$\displaystyle x^2=xx$

Common term of x.

$\displaystyle x(x-1)$

Common term of y.

$\displaystyle y-xy$

$\displaystyle y(1-x)$

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

Next, rewrite the problem down.

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

Change minus sign to add sign.

Solution:

Common term of (-1+x)

$\displaystyle (-1+x)x-(-1+x)y=\boxed{(-1+x)(x-y)}$

Therefore, the correct answer is (-1+x)(x-y).