# How do you multiply (6c-1)^2?

Feb 13, 2017

$36 {c}^{2} - 12 c + 1$

#### Explanation:

Each term in the second bracket must be multiplied by each term in the first bracket. ThIs can be achieved as shown.

$\left(\textcolor{red}{6 c - 1}\right) \left(6 c - 1\right)$

$= \textcolor{red}{6 c} \left(6 c - 1\right) \textcolor{red}{- 1} \left(6 c - 1\right)$

distributing.

$= 36 {c}^{2} - 6 c - 6 c + 1$

collecting like terms.

$= 36 {c}^{2} - 12 c + 1$