Question

decompose 6x/(x-4)(x+2) into partial fractions

Answer 1

\[(−6/x+2)+12/(x+4)\]

Answer 2

\[\rightarrow \frac{A}{x-4}+\frac{B}{x+2} = \frac{6x}{(x-4)(x+2)}\]
A(x+2) + B(x-4) = 6x
A+B = 6
2A-4B = 0

--> A=4
--> B=2

Answer 3

@RaphaelFilgueiras, its (x-4) not (x+4)

Answer 4

Thank you!

Answer 5

yes i do with x+ 4!

Answer 6

@ananaa you're fine with the next step?

Answer 7

I thought so...

Answer 8

Do you want to check your result?

Answer 9

next step?
oh is this linked to a larger problem involving an integral

Answer 10

how do you check your results?

Answer 11

Just post your result, so we can help you :)