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Popular >

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

Solution

simplify

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

Solution

- \frac{1}{m}

Solution steps

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

Factor

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

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

Factor

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

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

Simplify

\frac{m + 3}{3 + m} : 1

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

Simplify

\frac{m - 3}{3 - m} : - 1

= \frac{- 1}{m}

Apply the fraction rule:

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

= - \frac{1}{m}

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1 0^{0.6}

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5 x^{0} + 1 0^{0}

Frequently Asked Questions (FAQ)

What is (m^2-9)/(9m-m^3) ?
The solution to (m^2-9)/(9m-m^3) is -1/m