Question

decompose 1/x^2(x^2+1)^2

Answer 1

into partial fractions?

Answer 2

yes please :(

Answer 3

The first term in the denominator is the x^2 term

Answer 4

ohhhh that's why i can't get the right answer.. TY very much!!!

Answer 5

what partial fraction terms will the x^2 term decompose into?>

Answer 6

wait so i will write the first term as A/x^2?

Answer 7

Using your partial fraction table.

it might help to write x^2 as (1*x+0)^2

Answer 8

for should two fractions from the first term

Answer 9

so i will write it as A/x + B/x^2 for the first term?

Answer 10

yes, that's good.

now lets look at the second term

Answer 11

so for the second term it will be (Cx+D)/(x^2+1) + (Ex+F)/(x^2+1)^2?

Answer 12

Yes, great work,

now we just have to find A, B, C, D, E, & F

Answer 13

Ok i'll be back later

Answer 14

So far, we have

\[\frac1{x^2(x^2+1)^2}=\frac Ax + \frac B{x^2}+\frac{Cx+D}{x^2+1} + \frac{Ex+F}{(x^2+1)^2}\]

Answer 15

okay okay...i'm already solving for the values.

Answer 16

is this right? A=0, B=1, C=-1, D=0, E=0, and F=1?