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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Use an identity to find \((x + 4)(x + 10)\).
💡 Hint: Use Identity IV.
Question 2
Easy
Expand \((y + 3)^2\).
💡 Hint: Identify it as a perfect square.
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 is \((x + y)^2\) equal to?
- x^2 + y^2
- x^2 + 2xy + y^2
- x^2 - 2xy + y^2
💡 Hint: Think about the expansion of a square.
Question 2
Does \(x^2 - y^2 = (x + y)(x - y)\) hold true?
- True
- False
💡 Hint: Consider the difference of squares.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that \(x^3 + y^3 + z^3 - 3xyz = (x + y + z)(x^2 + y^2 + z^2 - xy - yz - zx)\).
💡 Hint: Use the identity involving three variables.
Question 2
Factorize the expression: \(64a^3 - 27b^3 - 144a^2b + 108ab^2\).
💡 Hint: Identify the difference of cubes and rearrange terms.
Challenge and get performance evaluation