Factories: x 2 – xz + xy – yz

Question

Factories: x 2 &#x2013; xz + xy &#x2013; yz

Philoid · Accepted Answer

Let’s first arrange the terms in a suitable form;

x² – xz + xy – yz

= x² + xy – xz – yz

= (x² + xy) – (xz + yz)

= x(x + y) – z(x + y)

= (x + y)(x – z)

So we get,

x² – xz + xy – yz = (x + y)(x – z)