Partial Fractions | A-Level Maths

6x/(x-1)(x+2) = A/(x-1) + B/(x+2)

1. split the fraction using each of the factors
2. multiply each term by (x-1)(x+2)
3. let x = 1
4. let x = -2
5. solve for A and B

Question 1

6x/(x-2)(x+1)² = A/(x-1) + B/(x+1) + C/(x+1)²

1. split the fraction using each of the factors
2. multiply each term by (x-2)(x+1)²
3. let x = 1
4. let x = -2
5. let x=0 or compare coefficients
6. solve for A, B and C

Question 2

Question 3