Question

18x^2 - 12x + 6/ 3x simplifed form

Answer 1

To simplify the expression \(\frac{18x^2 - 12x + 6}{3x}\), we can start by factoring the numerator.

1. Factor out the greatest common factor (GCF) from the numerator:
\[
18x^2 - 12x + 6 = 6(3x^2 - 2x + 1)
\]

2. Now, substitute this back into the expression:
\[
\frac{18x^2 - 12x + 6}{3x} = \frac{6(3x^2 - 2x + 1)}{3x}
\]

3. We can simplify the fraction by dividing both the numerator and the denominator by 3:
\[
= \frac{2(3x^2 - 2x + 1)}{x}
\]

4. Now split the multiplication:
\[
= 2(3x - 2 + \frac{1}{x})
\]

Thus, the simplified form of the expression is:
\[
2(3x - 2 + \frac{1}{x})
\]
or
\[
\frac{2(3x^2 - 2x + 1)}{x}
\]
if you prefer to leave it in fraction form.