# How do you write (x-5)(x+2) in standard form?

Mar 17, 2016

${x}^{2} - 3 x - 10$

#### Explanation:

Each term in the 2nd bracket must be multiplied by each term in the 1st. This can be done as follows.

$\textcolor{b l u e}{\text{(x -5 )}} \left(x + 2\right)$

= $\textcolor{b l u e}{\text{x" (x + 2 )color(blue)"-5}} \left(x + 2\right) = {x}^{2} + 2 x - 5 x - 10$

now collect like terms

$\Rightarrow \left(x - 5\right) \left(x + 2\right) = {x}^{2} - 3 x - 10 \text{ is in standard form }$

Writing an answer in standard form means , start with the term that has the highest power of the variable, $\text{ in this case } {x}^{2}$followed by terms with decreasing powers until the last term, usually a constant.