Question

what is the sum of 8 / x-2 + 2 / x+3
been trying to figure this out for a while

Answer 1

anyone can explain ?

Answer 2

Are you just looking to simplify it?

Answer 3

ya trying to find the sum

Answer 4

Depends on where you put the parentheses.

Answer 5

Is it (8 / x-2) + (2 / x+3), meaning it's adding two rational expressions?

Answer 6

Because if it is, then you could solve it like this:
1. Create an LCD between the fractions(multiplying each fraction by the other fraction's denominator written in both the top and bottom the fraction, so it doesn't change the value)
(8x+24)/(x-2)(x+3)+(2x-4)/(x-2)(x+3)
2.Add the numerators, which is possible now with the common numerator.
(10x+20)/(x-2)(x+3)
3.Factor the numerator(unless otherwise specified).
10(x+2)/(x-2)(x+3)

Answer 7

\[\frac{ 8 }{ x } -2+\frac{ 2 }{ x }+3 = \frac{ -2x+8 }{ x }+\frac{ 2 }{ x }+3 =\frac{ -2x+10 }{ x }+3=\frac{ x+10 }{ x }\]

That's the step by step solution for exactly what you typed above. If it has parentheses, fix it and I'll try to solve that one.

So, my final answer is: \[\frac{ x+10 }{ x }\]

Answer 8

Ah, there needs to be more parentheses.
(8 / (x-2)) + (2 / (x+3)), so that it divides it properly. I got the same problem, actually. I just forgot to note it. Sorry.

Answer 9

It's all about the parentheses. What did the problem look like in it's original state?