# How do you simplify (x - 3)(10x - 20) ?

May 8, 2017

See a solution process below:

#### Explanation:

To simplify this expression multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{x} - \textcolor{red}{3}\right) \left(\textcolor{b l u e}{10 x} - \textcolor{b l u e}{20}\right)$ becomes:

$\left(\textcolor{red}{x} \times \textcolor{b l u e}{10 x}\right) - \left(\textcolor{red}{x} \times \textcolor{b l u e}{20}\right) - \left(\textcolor{red}{3} \times \textcolor{b l u e}{10 x}\right) + \left(\textcolor{red}{3} \times \textcolor{b l u e}{20}\right)$

$10 {x}^{2} - 20 x - 30 x + 60$

We can now combine like terms:

$10 {x}^{2} + \left(- 20 - 30\right) x + 60$

$10 {x}^{2} + \left(- 50\right) x + 60$

$10 {x}^{2} - 50 x + 60$