What is ((m^2-9)/m)/((m+3)/m) ?

The solution to ((m^2-9)/m)/((m+3)/m) is m-3

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simplify ((m^2-9)/m)/((m+3)/m)

simplify

\frac{\frac{m ^{2} - 9}{m}}{\frac{m + 3}{m}}

m - 3

Solution steps

\frac{\frac{m ^{2} - 9}{m}}{\frac{m + 3}{m}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( m ^{2} - 9 ) m}{m ( m + 3 )}

Cancel the common factor:

m

= \frac{m ^{2} - 9}{m + 3}

Factor

m^{2} - 9 : (m + 3) (m - 3)

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

Cancel the common factor:

m + 3

= m - 3

- 3 \cdot - 2

6 (- 1)

\frac{( - 1 ) ^{n + 1}}{( - 1 ) ^{n}}

(2 x^{2} - 3) (2 x^{3} - 3 x^{2} + 4 x)