Binomial Theorem

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) 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) Determining Algebraic Forms of Complex Powers	Ex 50 Ex 51 Ex 52
14) Analyzing Real and Purely Imaginary Complex Powers	Ex 53 Ex 54
15) Calculating Binomial Sums	Ex 55 Ex 56 Ex 57
D) Factorization of \(a^n - b^n\)
16) Analyzing the Factorization of \(a^n - b^n\)	Ex 58 Ex 59 Ex 60 Ex 61
17) Factoring Sums and Differences of \(n\)-th Powers	Ex 62 Ex 63 Ex 64 Ex 65 Ex 66

Lesson
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) 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) Determining Algebraic Forms of Complex Powers Ex 50 Ex 51 Ex 52
    14) Analyzing Real and Purely Imaginary Complex Powers Ex 53 Ex 54
    15) Calculating Binomial Sums Ex 55 Ex 56 Ex 57
D) Factorization of \(a^n - b^n\)
    16) Analyzing the Factorization of \(a^n - b^n\) Ex 58 Ex 59 Ex 60 Ex 61
    17) Factoring Sums and Differences of \(n\)-th Powers Ex 62 Ex 63 Ex 64 Ex 65 Ex 66