# How do you factor  a(a+6)+7(a+6)?

Apr 23, 2016

${a}^{2} + 6 a + 7 a + 42$

${a}^{2} + 13 a + 42$

#### Explanation:

First you need to expand out the brackets by multiplying the outer number with the inner two numbers separately. Now we'll do $a \left(a + 6\right)$.

$a \times a = {a}^{2}$

$a \times 6 = 6 a$

That's the first set of brackets expanded. Now for the second pair of brackets, where we do the same thing.

$7 \times a = 7 a$

$7 \times 6 = 42$

Collect the like terms.

$7 a + 6 a = 13 a$

${a}^{2} + 13 a + 42$
You cannot solve this equation because the value of $a$ is unknown.