# Question 2e112

Feb 13, 2018

${x}^{2} - 6 x + 9$

#### Explanation:

$\textcolor{b l u e}{\text{Assumption: you wish to multiply out the brackets}}$

Write as $\textcolor{b l u e}{\left(x - 3\right)} \textcolor{g r e e n}{\left(x - 3\right)}$

Multiply every thing in the right hand brackets by every thing in the left. This is a slight variation on something called FOIL. Really it is the same thing but in disguise.

color(green)(color(blue)(x)(x-3) color(white)("dddd")color(blue)(-3)(x-3)) color(white)("ddd")larr" The minus follows the 3"#

$\textcolor{g r e e n}{{x}^{2} - 3 x \textcolor{w h i t e}{\text{ddddd}} - 3 x + 9}$

$\textcolor{g r e e n}{{x}^{2} - 6 x + 9}$