How do you divide \frac { x ^ { 2} + 2x - 24} { 20- 5x } + \frac { x ^ { 2} + 4x - 12} { 2x + 4}?

1 Answer
Jun 22, 2018

(3x^2+4x-84)/(10x+20)

Explanation:

(x.(x+6)-4(x+6))/(-5(x-4))+(x^2+4x-12)/(2x+4)

((x-4)(x+6))/(-5(-4))+(x^2+4x-12)/(2x+4)

(x+6)/(-5)+(x^2+4x-12)/(2x+4)

-(x+6)/(5)+(x^2+4x-12)/(2x+4)

(-2(2x+4)(x+6)+5(x^2+4x-12))/(5(2x+4))

(-(2x^2+12x+4x+24)+5x^2+20x-60)/(10x+20)

(-2x^2-16x-24+5x^2+20x-60)/(10x+20)

(3x^2+4x-84)/(10x+20)