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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Expand $(x + 2)^2$ using the square of a sum identity.
💡 Hint: Use the identity $(a + b)^2 = a^2 + 2ab + b^2$.
Question 2
Easy
Simplify $(a - 5)(a + 5)$ using the difference of squares.
💡 Hint: Remember the formula: $a^2 - b^2 = (a-b)(a+b)$.
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 the result of $(a+b)^2$?
- $a^2 + 2ab + b^2$
- $a^2 - 2ab + b^2$
- $(a-b)(a+b)$
💡 Hint: Remember how we expand a squared term.
Question 2
True or False: The difference of squares can be expressed as $a^2 + b^2$.
- True
- False
💡 Hint: Think of the signs involved in the identity.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove algebraically that $x^2 - 9$ can be factored as $(x - 3)(x + 3)$ using the difference of squares identity.
💡 Hint: Identify $a$ and $b$ in the expression.
Question 2
Expand and simplify $(2x + 3)^3$ and express it in standard polynomial form.
💡 Hint: Use $(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3$.
Challenge and get performance evaluation