Question

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

Answer 1

`[x(24x^2+8x-10)]/(-24x^2+2x+5)`

`[x(6x+5)(4x-2)]/[(12x+5)(-2x+1)]`

`[x(6x+5)[2(2x-1)]]/[(12x+5)[-1(2x-1)]]`

Divide by `(2x-1)`

`[2x(6x+5)]/[-1(12x+5)]`

`[12x^2+10x]/[-12x-5]`