Question

12x-96
---------
x^2-4x-32
----------
6x^2-6x-12
------------
3x+3

Answer 1

12x-96 12x-96 3x+3 12(x - 8) 3(x + 1)
--------- = ------------ * ------------ = -------------- * --------------
x^2-4x-32 x^2-4x-32 6x^2-6x-12 (x + 4)(x - 8) 6(x + 1)(x - 2)
----------
6x^2-6x-12
------------
3x+3



12(x - 8) 3(x + 1) 6 1 6 6
------------ * -------------- = ------- * ------ = ------------ = --------------
(x + 4)(x - 8) 6(x + 1)(x - 2) x + 4 x - 2 (x + 4)(x - 2) x² + 2x - 8



Factorisation used in solution above
x^2-4x-32 = x² -8x + 4x - 32 = x(x - 8) +4(x - 8) = (x + 4)(x - 8)
6x^2-6x-12 = 6(x² - x - 2) = 6[x² -2x + x - 2] = 6[x(x - 2) +1(x - 2)] = 6(x + 1)(x - 2)

Answer 2

i dont get wwhat the final answer is

Answer 3

The final answer is
6
------------
x² + 2x - 8