# How do you multiply (3x – 7)(5x + 6)?

Jun 2, 2018

Multiplying this out gives us $15 {x}^{2} - 17 x - 42$

#### Explanation:

So let start by rewriting this thing out again.

$\left(3 x - 7\right) \left(5 x + 6\right)$

So we need to use the FOIL method to see what this will give us.

$15 {x}^{2} + 18 x - 35 x - 42$

So once you are finish using the FOIL method, combine the like terms. The final answer to this is:

$15 {x}^{2} - 17 x - 42$

Jun 2, 2018

$15 {x}^{2} - 17 x - 42$

#### Explanation:

To multiply the two binomials $\left(3 x - 7\right) \left(5 x + 6\right)$

We use the mnemonic FOIL

F - First terms $\left(3 x\right) \left(5 x\right) = 15 {x}^{2}$
O - Outer terms $\left(3 x\right) \left(6\right) = 18 x$
I - Inner terms $\left(- 7\right) \left(5 x\right) = - 35 x$
L - Last terms $\left(- 7\right) \left(6\right) = - 42$

Now combine the terms

$15 {x}^{2} + 18 x - 35 x - 42$

$15 {x}^{2} - 17 x - 42$