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)
Flashcards
How to expand (a+b)²
How to expand (a+b)²
a²+2ab+b²
How to expand (a-b)²
How to expand (a-b)²
a²-2ab+b²
What is the difference of squares?
What is the difference of squares?
The product of two binomials where one term is added and the other is subtracted, like (a-b)(a+b)
How to factor a³-b³
How to factor a³-b³
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How to factor a³+b³
How to factor a³+b³
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How to expand (a+b)³
How to expand (a+b)³
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How to expand (a-b)³
How to expand (a-b)³
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What are the importance of the algebraic identities?
What are the importance of the algebraic identities?
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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.
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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!
