Question

x/x-1 + 3x/x+2
please solve

Answer 1

this isn't exactly a solving question. might this whole thing be equal to something?

Answer 2

oh hang on, i see what's going on here. my bad.

Answer 3

x=0 or x= 1/4

Answer 4

?

Answer 5

first you find a common denominator, which would be (x-1)(x+2)

Answer 6

for the numerators, you'd end up with x(x+2) and 3x(x-1)

Answer 7

that makes (x^2+2x)/(x^2+x-2) + (3x^2 -3x)/(x^2+x-2)

Answer 8

are we cool so far?

Answer 9

from there you just combine the numerators and put it all over the com denom

Answer 10

so (4x^2-x)/(x^2+x-2) as a final answer, though i think the factored denominator looks better, so you might want to actually leave it as (x-1)(x+2). it's up to you.

Answer 11

how are we doing?