How do you simplify the algebraic expression (24x^3+8x^2-10x)/(-24x^2+2x+5)?

Jun 16, 2018

$\frac{x \left(24 {x}^{2} + 8 x - 10\right)}{- 24 {x}^{2} + 2 x + 5}$

$\frac{x \left(6 x + 5\right) \left(4 x - 2\right)}{\left(12 x + 5\right) \left(- 2 x + 1\right)}$

$\frac{x \left(6 x + 5\right) \left[2 \left(2 x - 1\right)\right]}{\left(12 x + 5\right) \left[- 1 \left(2 x - 1\right)\right]}$

Divide by $\left(2 x - 1\right)$

$\frac{2 x \left(6 x + 5\right)}{- 1 \left(12 x + 5\right)}$

$\frac{12 {x}^{2} + 10 x}{- 12 x - 5}$