Podcast
Questions and Answers
What is the expanded form of (a + b)²?
What is the expanded form of (a + b)²?
a² + 2ab + b²
What is the factored form of a² - b²?
What is the factored form of a² - b²?
(a - b)(a + b)
Study Notes
Algebraic Identities
- (a + b)² = a² + 2ab + b²: This identity represents the square of a binomial sum.
- (a - b)² = a² - 2ab + b²: This identity represents the square of a binomial difference.
- a² - b² = (a - b)(a + b): This identity shows the difference of two squares.
- a³ - b³ = (a - b)(a² + ab + b²): This identity represents the difference of two cubes.
- a³ + b³ = (a + b)(a² - ab + b²): This identity represents the sum of two cubes.
- (a + b)³ = a³ + 3a²b + 3ab² + b³: This represents the cube of a binomial sum.
- (a - b)³ = a³ - 3a²b + 3ab² - b³: This represents the cube of a binomial difference.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of algebraic identities with this quiz. You'll explore key formulas related to binomial sums and differences, as well as the difference and sum of cubes. Perfect for reinforcing your algebra skills!
