Question

Divide. (18x^3+12x^2-3x)/6x^2

Answer 1

The answer to the first one is C

Second part is  x^2 - 12  (B)

Answer 2

Answer:

1. The correct option is C.

2. The correct option is B.

Step-by-step explanation:

1.

The given expression is

$\frac{18x^3+12x^2-3x}{6x^2}$

Simplify the expression,

$\frac{18x^3}{6x^2}+\frac{12x^2}{6x^2}-\frac{3x}{6x^2}$

Cancel out the common factors.

$3x+2-\frac{1}{2x}$

Therefore option C is correct.

2.

The given expression is

$\frac{2x^3-x^2-24x+12}{2x-1}$

Use grouping method to simplify the numerator.

$\frac{x^2(2x-1)-12(2x-1)}{2x-1}$

$\frac{(2x-1)(x^2-12)}{2x-1}$

Cancel out the common factors.

$x^2-12$

Therefore option B is correct.