Question

What is the simplified form of x^2-25 over x^2-3x-10?
A. x-3 over x-5
B.(x-5)(x+5) over (x+3)(x-3)
C. x+5 over x+2
D. x-5 over x+2
A medal for the best answer.

Answer 1

Ok do you have an idea how to simplify \[x^2-25\]

Answer 2

None. Im brain dead today.

Answer 3

ill give you a hint. What are the two numbers that multiply to 25 and are the same?

Answer 4

5 right?

Answer 5

Good so we set it up as (x 5) (x 5) what do you think the signs would be?

Answer 6

+ and +?

Answer 7

No. - +

Answer 8

I told you I was brain dead sorry

Answer 9

so you get \[\frac{ (x-5)(x+5) }{ x^2-3x-10 }\]so now we got to factor x^2-3x-10

Answer 10

what two numbers multiply to 10 but subtract to 3?

Answer 11

I don't like riddles

Answer 12

try it what are the factors of 10?
10,1
2,5

Answer 13

which ones subtract to 3?

Answer 14

2 and 5

Answer 15

good. so now you factor like this (x-5)(x+2) and from there you get this \[\frac{ (x-5)(x+5) }{ (x-5)(x+2) }\]which two parentheses cancel out?

Answer 16

x-5

Answer 17

nice job, and then you get?

Answer 18

x+5 and x-2

Answer 19

x+2

Answer 20

good \[\frac{ x+5 }{ x+2 }\]

Answer 21

And of those answer choices the same? :)

Answer 22

thanks a lot :)

Answer 23

No Problem