Answer:
1. The correct option is C.
2. The correct option is B.
Step-by-step explanation:
1.
The given expression is
[tex]\frac{18x^3+12x^2-3x}{6x^2}[/tex]
Simplify the expression,
[tex]\frac{18x^3}{6x^2}+\frac{12x^2}{6x^2}-\frac{3x}{6x^2}[/tex]
Cancel out the common factors.
[tex]3x+2-\frac{1}{2x}[/tex]
Therefore option C is correct.
2.
The given expression is
[tex]\frac{2x^3-x^2-24x+12}{2x-1}[/tex]
Use grouping method to simplify the numerator.
[tex]\frac{x^2(2x-1)-12(2x-1)}{2x-1}[/tex]
[tex]\frac{(2x-1)(x^2-12)}{2x-1}[/tex]
Cancel out the common factors.
[tex]x^2-12[/tex]
Therefore option B is correct.
