# How do you multiply (3x + 2)(4x - 5) ?

Mar 5, 2018

$12 {x}^{2} - 7 x - 10$

#### Explanation:

Multiply each term with each other

1. $\left(3 x\right) \times \left(4 x\right) = 12 {x}^{2}$
2. $\left(3 x\right) \times \left(- 5\right) = - 15 x$
3. $2 \times 4 x = 8 x$
4. $2 \times \left(- 5\right) = - 10$

So

$12 {x}^{2} - 15 x + 8 x - 10$

$12 {x}^{2} - 7 x - 10$

Mar 5, 2018

$12 {x}^{2} - 7 x - 10$

#### Explanation:

To multiply polynomials, you have to multiply the terms in the left by the terms on the right so multiply $3 x$ by $4 x$ and $- 5$ and do the same to $2$. You should get this once you're done:
$12 {x}^{2} - 15 x + 8 x - 10$

After you multiplied the polynomials, combine the like terms
$12 {x}^{2} - 7 x - 10$