Question

Partial fraction of x/(x+1)^3

Answer 1

The method is called "Partial Fraction Decomposition", and goes like this:

Step 1: Factor the bottom

Partial Fractions

Step 2: Write one partial fraction for each of those factors

Partial Fractions

Step 3: Multiply through by the bottom so we no longer have fractions

Partial Fractions

Step 4: Now find the constants A1 and A2

Substituting the roots, or "zeros", of (x−2)(x+1) can help:

Partial Fractions

And we have our answer:

Partial Fractions

（＾ｖ＾）

That was easy! ... almost too easy ...

... because it can be a lot harder!