# How do you find the product of (6a-3)(7a-4)?

Feb 19, 2017

$42 {a}^{2} - 45 a + 12$

#### Explanation:

Each term in the second bracket must be multiplied by each term in the first bracket. This is shown below.

$\left(\textcolor{red}{6 a - 3}\right) \left(7 a - 4\right)$

$= \textcolor{red}{6 a} \left(7 a - 4\right) \textcolor{red}{- 3} \left(7 a - 4\right)$

distributing gives.

$= 42 {a}^{2} - 24 a - 21 a + 12$

collecting like terms.

$= 42 {a}^{2} - 45 a + 12$