Help with partial fraction

[nil101]

Can this be resolved into a partial fraction?

x^2– x + 2
x(2x-1)(x+1)^2

nb. ^2 means raised to the power 2. Is there a better way of typing this in the forum?

Thanks

 

[tkhunny]

If you use the "Code" button, you can get things to line up better.

You can practice writing "in-line", but it probably takes more parentheses than you think.

Look up evey post by Soroban. He is the master of clarity of input and even character-based graphics.

Partial Fractions - Of course. You can set it up two ways.

A/x + B/(2x-1) + C/(x+1) + D/(x+1)²

or

a/x + b/(2x-1) + (cx+d)/(x+1)²

The rest is algebra.