Practice - Important Algebraic Identities
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Practice Questions
Test your understanding with targeted questions
Expand \((x + 1)^2\)
💡 Hint: Remember the square of a sum identity.
What is \(a^2 - b^2\) if \(a = 5\) and \(b = 3\)?
💡 Hint: Use the difference of squares identity.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is \((a + b)^2\)?
💡 Hint: Focus on the structure of the binomial.
True or false: \(a^2 - b^2 = (a + b)(a - b)\).
💡 Hint: Remember the product identity for squares.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Prove that \((x + y)^2 + (x - y)^2 = 2x^2 + 2y^2\) using algebraic identities.
💡 Hint: Expand using identity definitions.
Given values for a and b, such that \(a = 5\) and \(b = 2\), calculate \((a + b)^3 - (a - b)^3\).
💡 Hint: First calculate the cubes separately before taking the difference.
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