Question

Simplify:
4x+20/x^2+2x-15

Answer 1

`(6x^3-15x^2+20)/(x^2)`

Sorry the line is supposed to be over all the numbers on the top.

Explanation:

Answer 2

`\sf \longrightarrow \frac{4x + 20}{ {x}^(2) + 2x - 15} \\`

`\sf \longrightarrow \frac{4x + 20}{ {x}^(2) + 5x - 3x - 15} \\`

`\sf \longrightarrow (4x + 20)/( x(x + 5) - 3(x + 5)) \\`

`\sf \longrightarrow (4x + 20)/( (x- 3)(x + 5)) \\`

`\sf \longrightarrow (4(x + 5))/( (x- 3)(x + 5)) \\`

`\sf \longrightarrow \frac{4 \cancel{(x + 5)}}{ (x- 3) \cancel{(x + 5)}} \\`

`\sf \longrightarrow (4)/( (x- 3) ) \\`