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Questions and Answers
What is the definition of (a+b)²?
What is the definition of (a+b)²?
- a²-2ab+b²
- (a-b)(a²+ab+b²)
- a²+2ab+b² (correct)
- a²-b²
What is the definition of (a-b)²?
What is the definition of (a-b)²?
- (a+b)²
- a²-b²
- a²+b²
- a²-2ab+b² (correct)
What is the definition of (a+b)(a-b)?
What is the definition of (a+b)(a-b)?
- a²-2ab+b²
- a²+b²
- a²-b² (correct)
- (a+b)²
What is the definition of a³-b³?
What is the definition of a³-b³?
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What is the definition of a³+b³?
What is the definition of a³+b³?
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Study Notes
Perfect Square Trinomials
- (a+b)² results in the expanded form a² + 2ab + b².
- (a-b)² gives the expansion a² - 2ab + b².
Difference of Perfect Squares
- The formula (a+b)(a-b) simplifies to the expression a² - b², showcasing the basic difference formula.
Difference of Cubes
- The expression a³ - b³ factors to (a-b)(a² + ab + b²), allowing for simplification of cubic differences.
Sum of Cubes
- The formula for a³ + b³ is represented as (a+b)(a² - ab + b²), useful for factoring cubic sums.
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