How do you divide \frac { x ^ { 2} + 2x - 24} { 20- 5x } + \frac { x ^ { 2} + 4x - 12} { 2x + 4}x2+2x24205x+x2+4x122x+4?

1 Answer
Jun 22, 2018

(3x^2+4x-84)/(10x+20)3x2+4x8410x+20

Explanation:

(x.(x+6)-4(x+6))/(-5(x-4))+(x^2+4x-12)/(2x+4)x.(x+6)4(x+6)5(x4)+x2+4x122x+4

((x-4)(x+6))/(-5(-4))+(x^2+4x-12)/(2x+4)(x4)(x+6)5(4)+x2+4x122x+4

(x+6)/(-5)+(x^2+4x-12)/(2x+4)x+65+x2+4x122x+4

-(x+6)/(5)+(x^2+4x-12)/(2x+4)x+65+x2+4x122x+4

(-2(2x+4)(x+6)+5(x^2+4x-12))/(5(2x+4))2(2x+4)(x+6)+5(x2+4x12)5(2x+4)

(-(2x^2+12x+4x+24)+5x^2+20x-60)/(10x+20)(2x2+12x+4x+24)+5x2+20x6010x+20

(-2x^2-16x-24+5x^2+20x-60)/(10x+20)2x216x24+5x2+20x6010x+20

(3x^2+4x-84)/(10x+20)3x2+4x8410x+20