Fred is given a rectangular piece of paper. If the length of Fred's piece of paper is represented by 2x-6 and the width is represented by 3x-5, then the paper has a total area represented by what?

Jun 3, 2016

$a = 6 {x}^{2} - 28 x + 30$

Explanation:

Let area be $a$

Area is length multiplied by width so we have:

$a = \textcolor{b l u e}{\left(2 x - 6\right)} \textcolor{b r o w n}{\left(3 x - 5\right)}$

Multiply everything inside $\left(3 x - 5\right)$ by everything inside $\left(2 x - 6\right)$

$\textcolor{b r o w n}{a = \textcolor{b l u e}{2 x} \left(3 x - 5\right) \textcolor{b l u e}{- 6} \left(3 x - 5\right)}$

$a = 6 {x}^{2} - 10 x \text{ } - 18 x + 30$

$a = 6 {x}^{2} - 28 x + 30$