A-Level Maths | Partial Fractions

• Cross multiply to combine two fractions into one

Question 1

• 6x/(x-1)(x+2) = A/(x-1) + B/(x+2)
• multiply each term by (x-1)(x+2)
• let x = 1
• let x = -2

Question 2

• 6x/(x-2)(x+1)² = A/(x-1) + B/(x+1) + C/(x+1)²
• we are using all three factors of the denominator
• multiply each term by (x-2)(x+1)²
• let x = 1
• let x = -2

Question 3

Question 4