19/03/2020 Factorization(Study by Topics Junior Class) 19/03/2020 0Comments by Gate Academy Welcome to your Factorization(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. Factorise 12x+4 12+x 13x-1 4(3x+1) 12-x 2. Expand (a - b)(a + b) a² - b² a² - 2ab - b² a² - 2ab + b² a² + 2ab + b² a² + 2ab - b² 3. Factorise:ax – ay – bx + by ab(x - y) (a - b)(x - y) (a - b)(x + y) ay(b - a) (a + b)(x - y) 4. Factorise 27 – 3p2 completely (3 + p)(3 - p) 3(p + 3)(p - 3) 3(3 + p)(3 - p) (p + 3)(p- 3) 3(p- 3)² 5. Factorize: a² + 4a - 192 (a - 12)(a - 16) (a - 12)(a + 16) (a - 48)(a + 4) (a - 4)(a + 48) 6. Factorise 24a²+10a 7. Factorize the expression x(p-q) + y(q-p) (p-q) (y-x) (p-q) (x-y) (p+q) (x-y) (p+q) (x+y) 8. Factorise the expression: 5xy – 8by – 10ax + 16ab (y - 3b)(5x - 8b) (y - 2a)(5x - 8b) (y -3b)(5x = 8b) (y + 3b)(5x - 8b) (y - 2a)(3b + y) 9. Factorise fully 2x²-4x X(2x-4) 2x(x-4) 2(x²-x) 2x(x-2) 10. Factorise:10uv + 5u – 2v – 1 (5u - 1)(2v - 1) (5u - 1)(2v + 1) (5u + 1)(2v - 1) (10uv + 5)(2v - 1) (5u + 1)(2v + 1) 11. Which of the following polynomials has (a + b) as a factor? a² + b² 2a³ + 2a²b - ab + 3a - b² + 3b a³ - b³ 2a² - 3ab + b² - a + 1 12. Expand the following(2y - 5)(y - 3) 2y² + y - 15 2y² - 11y + 15 2y² - 5y + 15 2y² - y + 15 13. Factorise: 4x2 – 1 (2x - 2)(2x + 1) (4x - 1)(4x + 1) (4x + 1)(4x + 1) (2x - 1)(2x -1) (2x - 1)(2x + 1) 14. Factorize: 2x² - 3x + 1 (x + 1)(2x + 1) (2x - 3)(x - 1) (2x - 1)(x - 1) (2x + 3)(x - 2) 15. Factorization: 2y² + y - 15 (2y - 5)(y + 3) (2y - 3)(y + 5) (2y - 5)(y - 3) (2y + 5)(y - 3) 16. Factorise 2d3+ d2 (3d – 1) 2d²(3d -1) d²(5d + 1) d²(5d - 1) 2d²(3d +1) 3d(2d + 5d) 17. Expand: (3a + b)(3a – b) 9a² + 6ab + b² 9a² - 6ab + b² 9a² - b² 9a² - 3ab + b² 18. Your new question! 19. Factorize : pqx² + 12y - 4qx - 3pxy (px - 3y)(qx - 4) (px - 4)(qx - 3y) (px + q)(x - 12y) (qx - 4)(px + 3y) 20. Factorise a2c – 2ac2 ac(1 - 2c) ac(a - 2c) ac(a -c) a(c – 2c²) ac(c - 2a) 1 out of 20 Time is Up! Time's up
