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

Nov 30, 2016

$6 {x}^{2} + x - 15$

#### Explanation:

$\left(3 x + 5\right) \left(2 x - 3\right)$

Starting with $3 x$, multiply $3 x$ by each term in the second group

$3 x \cdot 2 x = 6 {x}^{2}$

$3 x \cdot - 3 = - 9 x$

Next, multiply $5$, by each term in the second group

$5 \cdot 2 x = 10 x$

$5 \cdot - 3 = - 15$

Hence $\left(3 x + 5\right) \left(2 x - 3\right)$

= $6 {x}^{2} - 9 x + 10 x - 15$

= $6 {x}^{2} + x - 15$