# How do you simplify (5 + x)(3 - 2x) ?

Nov 5, 2015

$- 2 {x}^{2} - 7 x + 15$

#### Explanation:

To simplify to binomials you multiply each term from one set of parentheses by all the terms in the next. So...
$5 \cdot 3 = 15$
$5 \cdot \left(- 2 x\right) = - 10 x$

$x \cdot 3 = 3 x$
$x \cdot \left(- 2 x\right) = - 2 {x}^{2}$

Then you combine all the like terms which in this case is $- 10 x$ and $3 x$ leaving you with $- 2 {x}^{2} - 7 x + 15$ (normally you order by the greatest coefficient)