Year 12/AS Pure Chapter 8.2 (The Binomial Expansion)

The second lesson on the binomial expansion takes considering binomial coefficients as numbers in Pascal's triangle and shows how the Casio Classwiz calculator has the ability to generate these values for us (The factorial (!) button and combinations (ⁿCᵣ) button).

Introduction: 00:00

Solution to Warm-Up Q1: 1:08
Solution to Warm-Up Q2: 3:25
Solution to Warm-Up Q3: 4:47
Solution to Warm-Up Q4: 9:10

COMBINATIONS
Introduction: 9:45
Calculation/formula: 14:48
Linking to Pascal's triangle: 17:20

Worked Example 1a): 19:17
Worked Example 1b): 19:54
Worked Example 1c): 20:28

Worked Example 2a): 22:10
Worked Example 2b): 23:58

EXPANDING BINOMIALS
Introduction: 26:30

Worked Example 1: 31:33
Worked Example 2: 38:34

Suggested Exercises: 42:24

[MrBaileyMaths]

Timestamps for smartphones and tablets:

Introduction: 00:00

Solution to Warm-Up Q1: 1:08
Solution to Warm-Up Q2: 3:25
Solution to Warm-Up Q3: 4:47
Solution to Warm-Up Q4: 9:10

COMBINATIONS
Introduction: 9:45
Calculation/formula: 14:48
Linking to Pascal's triangle: 17:20

Worked Example 1a): 19:17
Worked Example 1b): 19:54
Worked Example 1c): 20:28

Worked Example 2a): 22:10
Worked Example 2b): 23:58

EXPANDING BINOMIALS
Introduction: 26:30

Worked Example 1: 31:33
Worked Example 2: 38:34

Suggested Exercises: 42:24