Question: (\[ \frac{12x^2 - 20x}{2} \]\)…

\(\[ \frac{12x^2 - 20x}{2} \]\)

Solution

To simplify the expression \[ \frac{12x^2 - 20x}{2} \] first factor out the greatest common factor from the numerator. The greatest common factor of \(12x^2\) and \(-20x\) is \(4x\). Rewrite the expression: \[ 12x^2 - 20x = 4x(3x - 5) \] Now substitute back into the fraction: \[ \frac{4x(3x - 5)}{2} \] Divide the numerator and the denominator by 2: \[ \frac{4x(3x - 5)}{2} = 2x(3x - 5) \] So, the simplified form of the expression is: \[ 2x(3x - 5) \]