(x^2 - 5x - 24)/(6x+2x^2) * (5x^2)/ ( 8-x) ?

Question

Simplify

Answer 1

(x^2 - 5x - 24)              (5x^2)

___________     *      _______  =

(6x + 2x^2)                  (8 - x)

1.)factor the first part --> (x^2 - 5x - 24) = (x + 8) (x - 3)

2.) multiply it by --> (5x^2) = (x + 8) (x - 3) (5x^2)

3.) simplify the first bottom part by dividing by 2 --> (6x + 2x^2) =

(3x + x^2)

*4.) switch (8 - x) around so the variable is first --> ( 8 - x) = (-x + 8)

5.)multiply steps 3 & 4 --> (3x + x^2) (-x + 8)

now you have:

(x + 8) (x - 3) (5x^2)

________________

(3x + x^2) (-x + 8)

multiply (-x + 8) by -1 so it will be positive --> your answer is...

(x + 8) (x - 3) (5x ^2)

________________

(3x + x^2) (x - 8)

Answer 2

(3x-24)/(12x)*(25x)/(8-x)

3x-24/300/8x

11x/276

i think thats right?

maybe