Partial fractions

What you'll learn

1. 1

   Imagine you have a big fraction like (3x+5)/(x²+2x–3). You can split it into two smaller, simpler fractions that add together — like breaking a big pizza into two slices! 🍕

2. 2

   Let's split (3x+5)/(x²+2x–3) into partial fractions together. 🧩

3. 3

   What is the first step in partial fractions? 🤔

4. 4

   Now you try! Split (2x+7)/(x²+5x+6) into partial fractions. Drag the A and B values to the correct spots. 🎯

5. 5

   For (2x+7)/(x²+5x+6), after factorising you get (x+2)(x+3). Which equation is correct? 🧪

6. 6

   One more example: split (x+4)/(x²–1). Factorise and find A and B. 🧠

7. 7

   In the example above, what is the value of B? 🧮