How do you write (x-10)(2x+3) in standard form?

Mar 25, 2018

See a solution process below:

Explanation:

To write the expression in standard form, first, multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{x} - \textcolor{red}{10}\right) \left(\textcolor{b l u e}{2 x} + \textcolor{b l u e}{3}\right)$ becomes:

$\left(\textcolor{red}{x} \times \textcolor{b l u e}{2 x}\right) + \left(\textcolor{red}{x} \times \textcolor{b l u e}{3}\right) - \left(\textcolor{red}{10} \times \textcolor{b l u e}{2 x}\right) - \left(\textcolor{red}{10} \times \textcolor{b l u e}{3}\right)$

$2 {x}^{2} + 3 x - 20 x - 30$

We can now combine like terms:

$2 {x}^{2} + \left(3 - 20\right) x - 30$

$2 {x}^{2} + \left(- 17\right) x - 30$

$2 {x}^{2} - 17 x - 30$