Question

Please explain! I don't understand!

Answer 1

what do you get when you factor n^2 + 7n + 10

Answer 2

What two numbers multiply to 10 (last term) and add to 7 (middle coefficient)

Answer 3

more like (n+5)(n+2)

Answer 4

now factor n^2 + 2n - 15

Answer 5

good

Answer 6

so...

\[\Large \frac{n^2 + 7n + 10}{n^2 + 2n - 15}\]

turns into

\[\Large \frac{(n+5)(n+2)}{(n + 5)(n - 3)}\]

Answer 7

What's next?

Answer 8

very good, the final answer is

\[\Large \frac{n+2}{n-3}\]

or written out in plaintext form it's (n + 2)/(n - 3) like you have

Answer 9

the same steps are used to simplify #2

Answer 10

You have all the steps correct and the final answer correct. Nice work.

Answer 11

Oh and I'm sure you meant to say n^2 - 7n + 12 instead of n^2 - 7n + 10, but that's ok, I knew what you meant

Answer 12

you're welcome