# How do you multiply (m - 5)(m + 2)?

Jun 15, 2016

You multiply element by element.

#### Explanation:

When you multiply two parenthesis you have to multiply each element inside the first parenthesis for each element of the second parenthesis.

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

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

$= {m}^{2} + 2 m - 5 m - 10$

Now the terms with the same power can be summed together.
In this case the only terms with the same power are $2 m$ and $- 5 m$ and their sum is $2 m - 5 m = - 3 m$. The final result is

$= {m}^{2} + 2 m - 5 m - 10$

$= {m}^{2} - 3 m - 10$.