Question

Can someone please walk me through the simplification of

2x^2-7x-15
___________
(x+4)^2

Divided by

x^2-10x+25
___________
x+4

Answer 1

start by factoring the numerators. Can you do that?

Answer 2

Yep give me a sec

Answer 3

Actually could I get some help on that I think I have the first one
(2x+3)(x-2)(x-5) but I do not feel that is correct because when you distribute you get an x^3

Answer 4

I'm not sure where the (x - 2) came from. I got (2x + 3)(x - 5)

Answer 5

so the first one becomes\[\frac{ (2x+3)(x-5) }{ (x+4)(x+4) }\]

Answer 6

Yes have that

Answer 7

try factoring the second one

Answer 8

would the first step be x^2 * 25?

Answer 9

yes

Answer 10

So now we have 25x^2 and we have to split it into 2 terms that add up to -10 correct?

Answer 11

right

Answer 12

So -10 and -15?

Answer 13

-5 and -5

Answer 14

Dang your right idk why I was thinking 25 lol but yeah -5 and -5 obviously lol

Answer 15

We have x^2 -5x-5x+25

Answer 16

x(x-5) and 5(x-5)?

Answer 17

It's (x -5)(x-5).

What you have to do next is change the division sign to multiplication and flip the second fraction to its reciprocal.