# How do you simplify 5h (7-d) + 11hd?

Jun 11, 2018

$35 h + 6 h d$

#### Explanation:

$5 h \left(7 - d\right) + 11 h d$

To simplify this, we first use the distributive property (shown below) to expand/simplify $5 h \left(7 - d\right)$:

Following this image, we know that:
$\textcolor{b l u e}{5 h \left(7 - d\right) = \left(5 h \cdot 7\right) + \left(5 h \cdot - d\right) = 35 h - 5 h d}$

Now put it back into the expression:
$35 h - 5 h d + 11 h d$

We can still combine the like terms $- 5 h d$ and $11 h d$:
$35 h + 6 h d$

Hope this helps!