- make x/[(x-1)^3(x-2)] into partial fractions
why is it A/(x-1) + (BX+C)/(x-1)^2 + D/(x-2) instead of AX+B/(x-1)^2 + C/(x-2)
- Is the cover up method commonly used and when does it not work?
- Will 4x-3/[x^3(x+1)] decompose into A/x+ B/x^2 + C/x^3 + D/(x+1) and why isnt B linear and C a quadratic
Look at your first question again. It is confusing. All I gathered was this:
Which decomposes into
As for Heaviside Cover-up, that only works for linear combinations. The instant you throw in a quadratic (or something higher) into the denominator, it won't work as a neater process.
Question two is rightfully so as the idea is the implementation of powers allows ways to abide by the unnecessarily complicated method of introducing a numerator with linear terms in it. To make it seem a bit more obvious however:
(I will ignore the term with x
3 as the process is similar)