# How do you find the product of (m+5)(m^2+4m-8)?

Jul 19, 2016

$= {m}^{3} + 9 {m}^{2} + 12 m - 40$

#### Explanation:

By multiplying each term of the first polynomial by each term of the second one:

$m \left({m}^{2} + 4 m - 8\right) + 5 \left({m}^{2} + 4 m - 8\right)$

$= {m}^{3} + 4 {m}^{2} - 8 m + 5 {m}^{2} + 20 m - 40$

$= {m}^{3} + 9 {m}^{2} + 12 m - 40$