Question

Factorise; a) 12x²−x−6 (b) x⁴−9y⁴
please answer ​

Answer 1

Step-by-step explanation:

$a)12 {x}^{2} - x - 6$

$= 12 {x}^{2} - (9 - 8)x - 6$

$= 12 {x}^{2} - 9x + 8x - 6$

$= 3x(4x - 3) + 2(4x - 3)$

$= (4x - 3)(3x + 2)$

$b) {x}^{4} - 9 {y}^{4}$

$= ( { {x}^{2} )}^{2} - ( { {3y}^{2} )}^{2}$

$= ( {x}^{2} + 3 {y}^{2} )( {x}^{2} - 3 {y}^{2} )$

Answer 2

Answer:

(4x + 3) (3x - 2)

Step-by-step explanation:

12x² - x - 6

12x² (9-8)x - 6

12x² + 9x - 8x -6

3x(4x + 3) -2(4x+3)

(4x + 3) (3x - 2)