Answer: [tex]3x^{2}-24x[/tex]
Step-by-step explanation:
1. To simplify the expression given in the problem, you must apply a property of exponents called Quotient of powers, which states that when you divide two powers that have the same base, you must subtract the exponents.
2. Keeping this property on mind you have, you can rewrite the expression as following and simplify:
[tex]\frac{-12x^{4}}{-4x}+\frac{96x^{2}}{-4x}=3x^{2}-24x[/tex]
