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

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Answer 1 · 2016-04-23T08:35:38

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

$a^2 + 13a + 42$

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

$a xx a = a^2$

$a xx 6 = 6a$

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

$7 xx a = 7a$

$7 xx 6 = 42$

Collect the like terms.

$7a + 6a = 13a$

Add the others.

$a^2 + 13a + 42$

You cannot solve this equation because the value of $a$ is unknown.

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