How do you factor x - d + (x - d)^2?

Aug 10, 2016

$= \left(x - d\right) \left(1 + x - d\right)$

Explanation:

$x - d + {\left(x - d\right)}^{2}$
$= \left(x - d\right) \left(1 + x - d\right)$

Aug 10, 2016

$\left(x - d\right) \left(1 + x - d\right)$

Explanation:

Before we try to factorise, let's make 2 small changes:
There are 3 terms, but group the first two so that we have 2 terms.

$\textcolor{red}{\left(x - d\right)} + \textcolor{red}{\left(x - d\right)} \left(x - d\right) \text{ there is a common bracket}$

$\textcolor{red}{\left(x - d\right)} \left(1 + x - d\right)$

There are two factors.