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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Expand (x + 5)² using the identity.
💡 Hint: Remember the formula (a + b)².
Question 2
Easy
What does a² - b² factor to?
💡 Hint: Think about the difference of squares.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the identity (a + b)² equal?
- a² + b² + 2ab
- a³ + b³
- a² + b² - 2ab
💡 Hint: Remember to sum squares and include the product term.
Question 2
True or False: The difference of squares states that a² - b² can be factored as (a - b)(a + b).
- True
- False
💡 Hint: Keep the order for positive and negative signs in mind.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove the identity (2x + 3)² = 4x² + 12x + 9 and justify each step of your solution.
💡 Hint: Remember to separate each term carefully.
Question 2
Given a² - b² = (a - b)(a + b), how would you use this to find values if a=5 and b=3?
💡 Hint: Factor first and calculate each side for verification.
Challenge and get performance evaluation