Re: Rational Expression Help

Hello, benlh1!

Quote:

$\displaystyle \text{Simplify: }\:\frac{4x}{x^2-16} \times \frac{x+4}{2x^2}$

We have: .$\displaystyle \frac{4x(x+4)}{2x^2(x^2-16)}$

Factor: .$\displaystyle \frac{2\cdot2\cdot x\cdot(x+4)}{2\cdot x \cdot x(x-4)(x+4)}$

Reduce: .$\displaystyle \frac{{\color{red}\rlap{/}}2\cdot2\cdot{\color{red}\rlap{/}}x\cdot({\color{red}\rlap{/////}}x+4)}{{\color{red}\rlap{/}}2\cdot{\color{red}\rlap{/}}x \cdot x(x-4)({\color{red}\rlap{/////}}x+4)}$

Answer: .$\displaystyle \frac{2}{x(x-4)}$