# Math Help - Algebraic Manipulation

1. ## Algebraic Manipulation

Could someone help with this please...

2. Hello, need help!

I assume that we're supposed to simplify the fraction . . .

$\frac{8x^2 + 24x}{2x^2+5x-3}$
We are expected to know how to factor and cancel . . .

Factor: . $\frac{8x^2+24x}{2x^2+5x-3} \;=\;\frac{8x(x+3)}{(2x-1)(x+3)}$

Cancel: . $\frac{8x({\color{red}\rlap{/////}}x+3)}{(2x-1)({\color{red}\rlap{/////}}x+3)} \;=\;\frac{8x}{2x-1}$

3. Thanks you very much, my friend!