ALGEBRA

['MCQs on Identities** 1. Which of the following is the correct identity for \((a + b)^2\)? A) \(a^2 + b^2\) B) \(a^2 + 2ab + b^2\) C) \(a^2 - 2ab + b^2\) D) \(a^2 + ab + b^2\) **Answer: B**'] ['2. The expansion of \((a - b)^2\) is: A) \(a^2 - b^2\) B) \(a^2 + 2ab + b^2\) C) \(a^2 - 2ab + b^2\) D) \(a^2 + ab - b^2\) **Answer: C**'] ['3. What is the value of \((3x + 4)^2\) using identity? A) \(9x^2 + 12x + 16\) B) \(9x^2 + 24x + 16\) C) \(6x^2 + 24x + 16\) D) \(3x^2 + 12x + 16\) **Answer: B**'] ['4. Which identity is used in the expression \((x + y)(x - y)\)? A) \((x - y)^2\) B) \(x^2 + 2xy + y^2\) C) \(x^2 - y^2\) D) \(x^2 - 2xy + y^2\) **Answer: C**'] ['5. The identity \((a + b)^2 = a^2 + 2ab + b^2\) is used to expand: A) \((a + b)(a - b)\) B) \((a + b)^2\) C) \((a - b)^2\) D) \((a + b)^3\) **Answer: B**'] ['6. The result of \((2x - 5)^2\) is: A) \(4x^2 - 10x + 25\) B) \(4x^2 - 20x + 25\) C) \(2x^2 - 10x + 25\) D) \(4x^2 + 20x + 25\) **Answer: B**'] ['7. Which of the following expressions is equivalent to \(a^2 - b^2\)? A) \((a + b)^2\) B) \((a - b)^2\) C) \((a + b)(a - b)\) D) \((a - b)^2 + 2ab\) **Answer: C**']