Question: Write the rational expression in lowest terms. \[ \frac{7m^2 - 7m}{6m - 6} \] Select the…

Write the rational expression in lowest terms.

\[ \frac{7m^2 - 7m}{6m - 6} \]

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. \(\frac{7m^2 - 7m}{6m - 6} = \boxed{\phantom{0}}\)

(Simplify your answer. Use integers or fractions for any numbers in the expression.)

B. The expression is already in lowest terms.

Solution

Factor the numerator and the denominator \[ \frac{7m^2 - 7m}{6m - 6} = \frac{7m(m - 1)}{6(m - 1)} \] Cancel the common factor \((m - 1)\) \[ \frac{7m}{6} \] The expression in lowest terms is \[ \frac{7m}{6} \]