Question

Factor r^2+12r+27 please

Answer 1

still need help?

Answer 2

Break 27 into two factors such that their multiplication is 27(obvious), and their sum should be 12 ..

Answer 3

Yes

Answer 4

Like:
\[27 = 9 \times 3\]

Answer 5

See, multiplication of 9 and 3 is 27 and their sum is : 9 + 3 = 12..

Answer 6

So, now you can write the middle \(12r\) as : \(3r + 9r\)

Answer 7

\[r^2 + 12r + 27 \implies r^2 + 3r + 9r + 27 \implies r(r + 3) + 9(r+3) \implies \color{green}{(r+3)(r+9)}\]

Answer 8

Okay thank you!

Answer 9

lol sorry he beat me to it