Question

how do you factor :
49+42a+9a^2

Answer 1

(3a+7)^2

Answer 2

do i have to do something different because of the was it's put?

Answer 3

hmm you'll notice that the first term and the last term are both squares ...so your first guess is that it will be a perfect trinomial so you try that out first

Answer 4

oh ok

Answer 5

sure

Answer 6

you have to split the middle term
[9a ^{2}+42a+49\]
=9a^2+21a+21a+49
=3a(3a+7)+7(3a+7)
=(3a+7)^2