Question

need help with simplifying 5x+4/x2-64+3/x-8

Answer 1

so this problem reads (5x+4/x^2) - (64+3/x-8)

Answer 2

\(\large \frac{5x + 4}{x^2 - 64} + \frac{3}{x-8} = \frac{5x+4}{(x+8)(x-8)} + \frac{3}{x-8}\)

based from that..can you identify the LCD? remember that the LCD must contain BOTH denominators of both fractions

Answer 3

(5x+4/x^2-64)+(3/x-8)

Answer 4

so the LCD is x-8

Answer 5

Well, you can simplify x^2-64. Do you have an idea how?

Answer 6

like i said the LCD must contain BOTH denominators...since x - 8 does NOT contain x + 8 which is part of the first denominator.. x - 8 is NOT the LCD

Answer 7

you can make that 5x+4/(x-8)(x+8)

Answer 8

Yep, so your problem now looks like [5x+4/(x-8)(x+8) + (3/x-8)] do you know how to cancel out things that are similar on top and bottom?

Answer 9

yeah but you can't cancel anything out there

Answer 10

Good. So what is missing that the denominatours aren't the same?

Answer 11

x+8 isn't in the 2nd one

Answer 12

So you must multiply the numorator and denominatour by x+8 so they are even

Answer 13

how would that read?

Answer 14

that would read 3(x+8)/(x-8)(x+8)

Answer 15

Then you would simplify the top portion

Answer 16

okay, so then you just cancel the demoninators?

Answer 17

first simplify 3(x+8)

Answer 18

3x+24

Answer 19

yes. So now your bottoms are even, you can ignore those. just look at the numerators. What does your problem look thus far?

Answer 20

would the final answer be 4(2x+7)?

Answer 21

5x+4+3x+24 is what your next step would be. If you simplified those, you would get 8x+28. take the 4 so it would be 4(2x+7), so correct!

Answer 22

yes! new favorite web site

Answer 23

I know! I was so amazed when I found this place :D You understand it, right? (the problem, that is)

Answer 24

yeah that really helped now i just have to post 1 more queestion lol

Answer 25

lol maybe I'll help you on there too, but I think your good to close this question!