Question

factorize the following x²-xz+xy-yz

Answer 1

Step-by-step explanation:

x²-xz+xy-yz

=x(x-z)+y(x-z)

=(x-z)(x+y)

Answer 2

✪ Question ✪

Factorize the following:-

x²-xz+xy-yz

✪ To find ✪

The factors.

✪ Solution ✪

x²-xz+xy-yz

First, we have to group the first two terms and the last two terms.

∴ x²-xz+xy-yz

= (x²-xz)+(xy-yz)

We can take x common from (x²-xz) and y from (xy-yz).

∴ (x²-xz)+(xy-yz)

= x(x-z)+y(x-z)

We can take (x-z) common from

x(x-z)+y(x-z).

∴ x(x-z)+y(x-z)

= (x-z)(x+y)

✪ Hence ✪

x²-xz+xy-yz = (x-z)(x+y)

✪ Therefore ✪

x²-xz+xy-yz when factorised gives (x-z)(x+y).

So, the answer is (x-z)(x+y).

๑ Hope this helps you. ๑