Pure · Algebra & functions
Chapter 1 · 3
The idea
Partial fractions
Splitting a single algebraic fraction back into a sum of simpler ones — including the extra term a repeated linear factor needs.
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Pure · Algebra & functions
Partial fractions
Splitting a single algebraic fraction back into a sum of simpler ones — including the extra term a repeated linear factor needs.
Why it works
Adding fractions, in reverse
Why would anyone break a perfectly good fraction apart? Because the pieces can do what the whole cannot: has no integral and no binomial expansion as it stands, but — the same thing, split — integrates to logs and expands term by term. Adding fractions combines them over a common denominator; partial fractions runs that in reverse, breaking one fraction into a sum whose denominators are the factors of the original.Keep reading — free
The rest of the explanation, plus 3 worked examples you step through move by move.
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