Question

(6)Add and simplify if possible:
3 5
______ + _________
x-5 x^2-25

a.) 8
_____________
(x+5)(x-5)
b.) 3x+20
______________
(x+5)(x-5)
c.) 8x+5
____________
(x+5)(x-5)

Answer 1

did u try to do it ? ..

Answer 2

I tried, I dont know how to solve it.

Answer 3

Can you factor: x^2-25

Answer 4

(x - 5)(x + 5)

Answer 5

Yep :)
So what's common denominator?

Answer 6

x-5, right?

Answer 7

I mean what should you multiply with the first fraction to get (x - 5)(x + 5)

Answer 8

I have no idea

Answer 9

Look at the first denominator, it already had ....

Answer 10

x-5. I said that though

Answer 11

what should you MULTIPLY with (x-5) --> COMMON DENOM (x - 5)(x + 5)

Answer 12

3??? Im sorry I have no idea how to do this ):

Answer 13

=> MULTIPLY both upper and lower of the first fraction with (x + 5), will you!

Answer 14

\[\frac{3}{x-5}+\frac{5}{x^2-25}\\\\=\frac{3(x+5)}{(x-5)(x+5)}+\frac{5}{(x-5)(x+5)}\\\\=\frac{3x+20}{(x-5)(x+5)} \]

Answer 15

@qwertyfreak perform multiply in the first fraction of the second row as in @Luis_Rivera post! Learn it for your own benefit in the long run!