# How do you simplify (-4h+2)(3h+7)?

Dec 12, 2016

$- 12 {h}^{2} - 22 h + 14$

#### Explanation:

Simply distribute using the F.O.I.L method. See below:

$\left(- 4 h \cdot 3 h\right) = - 12 {h}^{2}$ and $\left(- 4 h \cdot 7\right) = - 28 h$

$\left(2 \cdot 3 h\right) = 6 h$ and $\left(2 \cdot 7\right) = 14$

Now we have all four parts of the equation. See below:

$12 {h}^{2} - 28 h + 6 h + 14$

Since we have like-terms, $\left(- 28 h + 6 h\right)$, we need to add those together to get the simplified equation. $\left(- 28 h + 6 h\right) = - 22 h$

Now the equation reads:

$\left(- 4 h + 2\right) \left(3 h + 7\right) = 12 {h}^{2} - 22 h + 14$

Therefore the finalized simplified version of the equation is:

Answer: $12 {h}^{2} - 22 h + 14$