# How do you write the product as a trinomial (m - 5)(m + 2)?

Jul 24, 2015

$\left(m - 5\right) \left(m + 2\right) = {m}^{2} - 3 m - 10$

#### Explanation:

$\left(m - 5\right) \left(m + 2\right)$

$\textcolor{w h i t e}{\text{XXXX}}$$= \left(m - 5\right) m + \left(m - 5\right) 2$

$\textcolor{w h i t e}{\text{XXXX}}$$= \left({m}^{2} - 5 m\right) + \left(2 m - 10\right)$

$\textcolor{w h i t e}{\text{XXXX}}$$= {m}^{2} - 3 m - 10$