What is (2m-3)/(m+6)+(m-4)/(2m) ?

The solution to (2m-3)/(m+6)+(m-4)/(2m) is (5m^2-4m-24)/(2m(m+6))

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simplify (2m-3)/(m+6)+(m-4)/(2m)

simplify

\frac{2 m - 3}{m + 6} + \frac{m - 4}{2 m}

\frac{5 m ^{2} - 4 m - 24}{2 m ( m + 6 )}

Solution steps

\frac{2 m - 3}{m + 6} + \frac{m - 4}{2 m}

Least Common Multiplier of

m + 6, 2 m : 2 m (m + 6)

Adjust Fractions based on the LCM

= \frac{( 2 m - 3 ) \cdot 2 m}{2 m ( m + 6 )} + \frac{( m - 4 ) ( m + 6 )}{2 m ( m + 6 )}

Apply the fraction rule:

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

= \frac{( 2 m - 3 ) \cdot 2 m + ( m - 4 ) ( m + 6 )}{2 m ( m + 6 )}

Simplify

(2 m - 3) \cdot 2 m + (m - 4) (m + 6) : 5 m^{2} - 4 m - 24

= \frac{5 m ^{2} - 4 m - 24}{2 m ( m + 6 )}

ln (1) - ln (0)

\frac{x - 1}{x ^{2} - 9} < 0

125 x^{3} - 8 y^{3}

4 x^{2} - 1 = 0

(x - 2)^{2} + 48 = (2 - 3 x)^{2}

What is (2m-3)/(m+6)+(m-4)/(2m) ?
The solution to (2m-3)/(m+6)+(m-4)/(2m) is (5m^2-4m-24)/(2m(m+6))