Question

Simplify the expression if possible. $$\frac{-18 x^{2}}{12 x}$$

Short answer

The simplified form of \( \frac{-18x^{2}}{12x} \) is \( \frac{-3x}{2} \).

Step-by-step solution

Divide by Greatest Common Divisor

Divide the numerator (-18) and the denominator (12) by their greatest common divisor which is 6. So, it simplifies to \( \frac{-3x^{2}}{2x} \).

Cancel out common terms

Now, cancel out the common term 'x' in the numerator and the denominator. So it simplifies to \( \frac{-3x}{2} \).