1 Factorize completely: x² + 5x + 6 A (x + 2)(x + 3) B (x + 1)(x + 6) C (x - 2)(x - 3) D (x + 2)(x - 3)
2 Factorize: x² - 10x + 25 - 4y² A (x - 5 - 2y)(x - 5 + 2y) B (x + 5 - 2y)(x + 5 + 2y) C (x - 5 - 2y)² D (x - 5)² - 4y²
3 Simplify: (x² - 2x - 3)/(x² + x - 12) × (x - 3)/(x + 1) A (x - 3)/(x + 4) B (x + 1)/(x + 4) C (x - 3)/(x - 4) D 1
4 Find the LCM of x² - 4 and x² - 3x + 2. A (x - 2)(x + 2)(x - 1) B (x - 2)(x + 2) C (x - 2)(x - 1) D (x + 2)(x - 1)
6 Simplify: (x + 2)/(x² - 4) × (x - 2)/(x + 1) A 1/(x + 1) B (x - 2)/(x + 1) C (x + 2)/(x + 1) D 1/(x - 1)
7 Factorize completely: x² - 6x + 9 - y² A (x - 3 - y)(x - 3 + y) B (x - 3 - y)² C (x + 3 - y)(x + 3 + y) D (x - 3)(x - 3) - y²
8 Simplify: (x² + 5x + 6)/(x² + 4x + 4) A (x + 3)/(x + 2) B (x + 2)/(x + 3) C (x + 3)/(x - 2) D (x - 3)/(x + 2)
11 Factorize: x³ - 8 A (x - 2)(x² + 2x + 4) B (x + 2)(x² - 2x + 4) C (x - 2)(x² - 2x + 4) D (x + 2)(x² + 2x + 4)
16 Factorize: x² - 2x + 1 - 9y² A (x - 1 - 3y)(x - 1 + 3y) B (x + 1 - 3y)(x + 1 + 3y) C (x - 1 - 3y)² D (x - 1)² - 9y²
20 Factorize: 6x² - 7x - 3 A (3x + 1)(2x - 3) B (3x - 1)(2x + 3) C (6x + 1)(x - 3) D (2x + 1)(3x - 3)