Binomial Expansion

Learning tasks

A) Binomial Expansion for \(n\equal 2\) and \(n\equal 3\)
1) Expanding Perfect Square Binomials (Addition)	Ex 1 Ex 2 Ex 3 Ex 4
2) Expanding Perfect Square Binomials (Subtraction)	Ex 5 Ex 6 Ex 7 Ex 8
3) Expanding Perfect Cube Binomials (Addition)	Ex 9 Ex 10 Ex 11 Ex 12
4) Expanding Perfect Cube Binomials (Subtraction)	Ex 13 Ex 14 Ex 15 Ex 16
B) Pascal's Triangle
5) Building Pascal's Triangle	Ex 17 Ex 18
6) Using the Fourth Row of Pascal's Triangle	Ex 19 Ex 20 Ex 21
7) Using the Fifth Row of Pascal's Triangle	Ex 22 Ex 23 Ex 24 Ex 25
C) The Binomial Theorem
8) Evaluating Factorials Without a Calculator	Ex 26 Ex 27 Ex 28 Ex 29
9) Evaluating Factorials with a Calculator	Ex 30 Ex 31 Ex 32 Ex 33 Ex 34
10) Expressing Products in Factorial Form	Ex 35 Ex 36 Ex 37 Ex 38 Ex 39 Ex 40
11) Evaluating Factorials by Simplification	Ex 41 Ex 42 Ex 43 Ex 44
12) Finding a Specific Term in an Expansion	Ex 45 Ex 46 Ex 47 Ex 48 Ex 49
13) Deriving Identities from the Binomial Theorem	Ex 50 Ex 51

Lesson Summary
Text book

Exercises Correction
A) Binomial Expansion for \(n\equal 2\) and \(n\equal 3\)
    1) Expanding Perfect Square Binomials (Addition) Ex 1 Ex 2 Ex 3 Ex 4
    2) Expanding Perfect Square Binomials (Subtraction) Ex 5 Ex 6 Ex 7 Ex 8
    3) Expanding Perfect Cube Binomials (Addition) Ex 9 Ex 10 Ex 11 Ex 12
    4) Expanding Perfect Cube Binomials (Subtraction) Ex 13 Ex 14 Ex 15 Ex 16
B) Pascal's Triangle
    5) Building Pascal's Triangle Ex 17 Ex 18
    6) Using the Fourth Row of Pascal's Triangle Ex 19 Ex 20 Ex 21
    7) Using the Fifth Row of Pascal's Triangle Ex 22 Ex 23 Ex 24 Ex 25
C) The Binomial Theorem
    8) Evaluating Factorials Without a Calculator Ex 26 Ex 27 Ex 28 Ex 29
    9) Evaluating Factorials with a Calculator Ex 30 Ex 31 Ex 32 Ex 33 Ex 34
    10) Expressing Products in Factorial Form Ex 35 Ex 36 Ex 37 Ex 38 Ex 39 Ex 40
    11) Evaluating Factorials by Simplification Ex 41 Ex 42 Ex 43 Ex 44
    12) Finding a Specific Term in an Expansion Ex 45 Ex 46 Ex 47 Ex 48 Ex 49
    13) Deriving Identities from the Binomial Theorem Ex 50 Ex 51