# Thread: Perform the indicated operations and express in simplest form:

1. ## Perform the indicated operations and express in simplest form:

3x² + 12x -5 / 3x² - 3x
------------ --------
x² + 2x -15 3x - x²

can anyone solve this for me or give some help? im completely stuck.. dotted lines are supposed to be just solid lines, idk how to do it otherwise

2. Hello, direction!

I'm guessing that there is a typo in the problem.

Simplify: . $\frac{3x^2 + {\color{red}2}x - 5}{x^2+2x-15} \div \frac{3x^2-3x}{3x-x^2}$

"Invert and multiply": . $\frac{3x^2+2x-5}{x^2+2x-15} \cdot\frac{3x - x^2}{3x^2-3x}$

Factor: . $\frac{(x-1)(3x+5)}{(x-3)(x+5)} \cdot \frac{-x(x-3)}{3x(x-1)}$

Reduce: . $\frac{{\color{green}\rlap{//////}}(x-1)(3x+5)}{{\color{red}\rlap{//////}}(x-3)(x+5)} \cdot \frac{-{\color{blue}\rlap{/}}x{\color{red}\rlap{//////}}(x-3)}{3{\color{blue}\rlap{/}}x{\color{green}\rlap{//////}}(x-1)}$

Answer: . $-\,\frac{3x+5}{3(x+5)}$

3. Originally Posted by direction
3x² + 12x -5 / 3x² - 3x
------------ --------
x² + 2x -15 3x - x²

can anyone solve this for me or give some help? im completely stuck.. dotted lines are supposed to be just solid lines, idk how to do it otherwise
do u mean

4. 3x² + 12x -15 / 3x² - 3x
------------ --------
x² + 2x -15 3x - x²

sorry, here is the correct version

5. Hi direction,

$\frac{3\left(x^2+4x-5\right)}{x^2+2x-15} \cdot \frac{x\left(3-x\right)}{3x\left(x-1\right)}$ = $\frac{{\color{blue}\rlap{/}}3{\color{green}\rlap{///////}}\left(x+5\right){\color{red}\rlap{///////}}\left(x-1\right)}{{\color{green}\rlap{///////}}\left(x+5\right){\color{yellow}\rlap{///////}}\left(x-3\right)}\cdot\frac{{\color{blue}\rlap{/}}x\left({-1}\right){\color{yellow}\rlap{///////}}\left(x-3\right)}{{\color{blue}\rlap{//}}3x{\color{red}\rlap{///////}}\left(x-1\right)}$

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### example of perform the indicated operation

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