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

The solution to (m+3)/(m-3)+(m+2)/(m-2) is (2m^2-12)/((m-3)(m-2))

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

simplify

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

\frac{2 m ^{2} - 12}{( m - 3 ) ( m - 2 )}

Solution steps

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

Least Common Multiplier of

m - 3, m - 2 : (m - 3) (m - 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(m + 3) (m - 2) + (m + 2) (m - 3) : 2 m^{2} - 12

= \frac{2 m ^{2} - 12}{( m - 3 ) ( m - 2 )}

\frac{448 u ^{3} y ^{3}}{900 u ^{2} y ^{11}}

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

(x - 3) (x - 3) (x - 3)

sin (θ) sin (θ)

6 \frac{3}{5}

What is (m+3)/(m-3)+(m+2)/(m-2) ?
The solution to (m+3)/(m-3)+(m+2)/(m-2) is (2m^2-12)/((m-3)(m-2))