ReViSense.AI
Chapter 99 · Part 1

We Distribute, Yet Things Multiply — Algebraic Identities

12
Concepts
39
Formulae
10 min
Read time
Intermediate

Learning objectives

  • 1Describe the the Distributive Property — The Foundation
  • 2Describe the expanding Products Using the Distributive Property
  • 3Describe the fast Multiplication Using the Distributive Property
  • 4Explain identity 1A: Square of a Sum — $(a + b)^2$
  • 5Explain identity 1B: Square of a Difference — $(a - b)^2$
  • 6Explain identity 1C: Difference of Two Squares — $(a + b)(a - b)$

Your learning path

Introduction
The Distributive Property — The Foundation
Expanding Products Using the Distributive Property
Fast Multiplication Using the Distributive Property
Identity 1A: Square of a Sum — $(a + b)^2$
Identity 1B: Square of a Difference — $(a - b)^2$
Identity 1C: Difference of Two Squares — $(a + b)(a - b)$
Common Mistakes to Watch For
Patterns, Algebra, and Multiple Methods
Activity
Summary
Quiz
Revision
Follow the full path

Key terms

ApplicationsGeometric DerivationAlgebraic DerivationExample 1Example 2Mistake 1Mistake 2Mistake 3Identity 1Like termsAnother patternMethod 2 (Yusuf)Multiplying by 11Method 1 (Tadang)Multiplying by 101Alternative derivation
12Concepts
39Formulae
10Minutes