Q. 204.7( 17 Votes )

# Factories:

x^{2} – xz + xy – yz

Answer :

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

x^{2} – xz + xy – yz

= x^{2} + xy – xz – yz

= (x^{2} + xy) – (xz + yz)

= x(x + y) – z(x + y)

= (x + y)(x – z)

So we get,

x^{2} – xz + xy – yz = (x + y)(x – z)

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