What is 7/(m-6)-1/m ?

The solution to 7/(m-6)-1/m is (6m+6)/(m(m-6))

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simplify 7/(m-6)-1/m

simplify

\frac{7}{m - 6} - \frac{1}{m}

\frac{6 m + 6}{m ( m - 6 )}

Solution steps

\frac{7}{m - 6} - \frac{1}{m}

Least Common Multiplier of

m - 6, m : m (m - 6)

Adjust Fractions based on the LCM

= \frac{7 m}{m ( m - 6 )} - \frac{m - 6}{m ( m - 6 )}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{7 m - ( m - 6 )}{m ( m - 6 )}

Simplify

7 m - (m - 6) : 6 m + 6

= \frac{6 m + 6}{m ( m - 6 )}

\frac{x - x ^{2}}{1 - x}

- 24 x + 32

(- 3 x - 2) (6 x^{5} + 4 x - 2 x^{2} - 7)

5 + (- 8)

\frac{1}{a} + \frac{1}{b} + \frac{1}{c}