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## Main Question or Discussion Point

Trying to help out a friend.

I appolagise if yet again this is in the wrong part of the forum, i haven't an idea what it is categorised as, im an apprentice engineer and simply that lol

Can someone explain how the following is done:

x^2 – x + 1 / (x - 2)(x^2 + 1) ≅ A / (x - 2) + Bx + C / x^2 + 1

"Using a mixture of substitution and equating gives A= 3/5, B= 2/5, C = -1/5 "

I truly would appreciate any replies, oddly enough i actually want to understand what this type of mathematics is used for so yes im looking for a bit of detail involved, if you cba its ok, like i say im helping someone else, but trying to understand at the same time.

Thanks :)

I appolagise if yet again this is in the wrong part of the forum, i haven't an idea what it is categorised as, im an apprentice engineer and simply that lol

Can someone explain how the following is done:

x^2 – x + 1 / (x - 2)(x^2 + 1) ≅ A / (x - 2) + Bx + C / x^2 + 1

"Using a mixture of substitution and equating gives A= 3/5, B= 2/5, C = -1/5 "

I truly would appreciate any replies, oddly enough i actually want to understand what this type of mathematics is used for so yes im looking for a bit of detail involved, if you cba its ok, like i say im helping someone else, but trying to understand at the same time.

Thanks :)