Answer:
[tex]\boxed{\bold{\frac{3\left(x-4\right)}{2x}}}[/tex]
Step By Step Explanation:
Factor [tex]\bold{3x^2-48: \ 3\left(x+4\right)\left(x-4\right)}[/tex]
[tex]\bold{\frac{3\left(x+4\right)\left(x-4\right)}{2x^2+8x}}[/tex]
Factor Out Common Term [tex]\bold{2x: \ 2x^2+8x}[/tex]
[tex]\bold{\frac{3\left(x+4\right)\left(x-4\right)}{2x\left(x+4\right)}}[/tex]
Cancel The Common Factor x + 4
[tex]\bold{\frac{3\left(x-4\right)}{2x}}[/tex]
