Question

What is the simplified form of the rational expression below? 3x^2-48/2x^2+8x

Answer 1

Answer:

$\boxed{\bold{\frac{3\left(x-4\right)}{2x}}}$

Step By Step Explanation:

Factor $\bold{3x^2-48: \ 3\left(x+4\right)\left(x-4\right)}$

$\bold{\frac{3\left(x+4\right)\left(x-4\right)}{2x^2+8x}}$

Factor Out Common Term $\bold{2x: \ 2x^2+8x}$

$\bold{\frac{3\left(x+4\right)\left(x-4\right)}{2x\left(x+4\right)}}$

Cancel The Common Factor x + 4

$\bold{\frac{3\left(x-4\right)}{2x}}$