# How do you simplify (8x+3y)(2x-y) ?

Aug 18, 2016

$16 {x}^{2} - 2 x y - 3 {y}^{2}$

#### Explanation:

Given:" "color(blue)((8x+3y)color(brown)((2x-y)

Multiply everything in the right hand side (RHS) bracket by everything in the left hand side (LHS) bracket.

Note that the + from $+ 3 y$ follows the $3 y$.

color(brown)(color(blue)(8x)(2x-y)color(blue)(" "+3y)(2x-y)  giving:

$\textcolor{w h i t e}{.}$

$16 {x}^{2} \textcolor{m a \ge n t a}{- 8 x y \text{ } + 6 x y} - 3 {y}^{2}$

$\textcolor{w h i t e}{.}$

but $\textcolor{m a \ge n t a}{- 8 x y + 6 x y} \textcolor{g r e e n}{= - 2 x y}$

$16 {x}^{2} \textcolor{g r e e n}{- 2 x y} - 3 {y}^{2}$