What is 6/(m-3)-(5m)/(m+3) ?

The solution to 6/(m-3)-(5m)/(m+3) is (-5m^2+21m+18)/((m-3)(m+3))

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simplify 6/(m-3)-(5m)/(m+3)

simplify

\frac{6}{m - 3} - \frac{5 m}{m + 3}

\frac{- 5 m ^{2} + 21 m + 18}{( m - 3 ) ( m + 3 )}

Solution steps

\frac{6}{m - 3} - \frac{5 m}{m + 3}

Least Common Multiplier of

m - 3, m + 3 : (m - 3) (m + 3)

Adjust Fractions based on the LCM

= \frac{6 ( m + 3 )}{( m - 3 ) ( m + 3 )} - \frac{5 m ( m - 3 )}{( m - 3 ) ( m + 3 )}

Apply the fraction rule:

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

= \frac{6 ( m + 3 ) - 5 m ( m - 3 )}{( m - 3 ) ( m + 3 )}

Simplify

6 (m + 3) - 5 m (m - 3) : - 5 m^{2} + 21 m + 18

= \frac{- 5 m ^{2} + 21 m + 18}{( m - 3 ) ( m + 3 )}

\frac{2 x ( x - 4 )}{x - 1} \leq 7

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42.6 x - 29.4 = - 3.5 x

b^{5} x^{- 9} y^{7}

What is 6/(m-3)-(5m)/(m+3) ?
The solution to 6/(m-3)-(5m)/(m+3) is (-5m^2+21m+18)/((m-3)(m+3))