Factories: x 2 – ax – bx + ab

Question

Factories: x 2 &#x2013; ax &#x2013; bx + ab

Philoid · Accepted Answer

x² – ax – bx + ab

Let’s arrange the terms in a suitable form;

x² – ax – bx + ab

= x² – bx – ax + ab

= (x² – bx) – (ax – ab)

= x(x – b) – a(x – b)

= (x – b)(x –a)

So we get,

x² – ax – bx + ab = (x – b)(x –a)