What is 5/(m-1)-2/(m-3) ?

The solution to 5/(m-1)-2/(m-3) is (3m-13)/((m-1)(m-3))

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simplify 5/(m-1)-2/(m-3)

simplify

\frac{5}{m - 1} - \frac{2}{m - 3}

\frac{3 m - 13}{( m - 1 ) ( m - 3 )}

Solution steps

\frac{5}{m - 1} - \frac{2}{m - 3}

Least Common Multiplier of

m - 1, m - 3 : (m - 1) (m - 3)

Adjust Fractions based on the LCM

= \frac{5 ( m - 3 )}{( m - 1 ) ( m - 3 )} - \frac{2 ( m - 1 )}{( m - 1 ) ( m - 3 )}

Apply the fraction rule:

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

= \frac{5 ( m - 3 ) - 2 ( m - 1 )}{( m - 1 ) ( m - 3 )}

Simplify

5 (m - 3) - 2 (m - 1) : 3 m - 13

= \frac{3 m - 13}{( m - 1 ) ( m - 3 )}

x^{2} - x - 20

\frac{x ^{5}}{x ^{- 2}}

- \frac{2}{3} (4)

4 x^{3} a^{5} m^{6} - 2 x^{3} a^{5} m^{7} - 16 a^{6}

\frac{2}{1} + 2

What is 5/(m-1)-2/(m-3) ?
The solution to 5/(m-1)-2/(m-3) is (3m-13)/((m-1)(m-3))