# How do you multiply (8b+6)(b-5)?

Nov 6, 2016

$8 {b}^{2} - 34 b - 30$

#### Explanation:

We must ensure that each term in the second bracket is multiplied by each term in the first bracket. This can be achieved as follows.

$\left(\textcolor{red}{8 b + 6}\right) \left(b - 5\right)$

$= \textcolor{red}{8 b} \left(b - 5\right) \textcolor{red}{+ 6} \left(b - 5\right)$

now distribute the brackets.

$= 8 {b}^{2} - 40 b + 6 b - 30$

collecting like terms gives.

$8 {b}^{2} - 34 b - 30$