Chapter 50: Expanding Products of Binomials

✏️ Explanation

When multiplying two brackets (binomials), use FOIL: First terms, Outside terms, Inside terms, Last terms. Then collect like terms.

Fundamental skill for quadratic expressions, factorising, and solving complex equations.

Expand: (x + 3)(x + 5)

First: x × x = x²

x²

Outside: x × 5 = 5x

Inside: 3 × x = 3x

Last: 3 × 5 = 15

Combine and simplify: x² + 5x + 3x + 15

x² + 8x + 15

1. Expand: (x + 2)(x + 4)

Answer:

2. Expand: (x - 3)(x + 1)

Answer:

3. Expand: (2x + 1)(x + 3)

Answer:

4. Expand: (x - 5)(x - 2)

Answer:

5. Expand: (3x + 2)(2x - 1)

Answer:

FOIL: First, Outside, Inside, Last. Then simplify by collecting like terms.