What is ((m^2-16n^2))/(\frac{3m+12n){mn}} ?

The solution to ((m^2-16n^2))/(\frac{3m+12n){mn}} is ((m-4n)mn)/3

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simplify ((m^2-16n^2))/(\frac{3m+12n){mn}}

simplify

\frac{( m ^{2} - 16 n ^{2} )}{\frac{3 m + 12 n}{mn}}

\frac{( m - 4 n ) mn}{3}

Solution steps

\frac{m ^{2} - 16 n ^{2}}{\frac{3 m + 12 n}{mn}}

Apply the fraction rule:

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

= \frac{( m ^{2} - 16 n ^{2} ) mn}{3 m + 12 n}

Cancel

\frac{( m ^{2} - 16 n ^{2} ) mn}{3 m + 12 n} : \frac{( m - 4 n ) mn}{3}

= \frac{( m - 4 n ) mn}{3}

y^{2} - y - 20

\frac{( - 1 ) ^{1} 0. 5 ^{2 + 4}}{1 ! ( 2 + 4 )}

7 x^{2} - 112

(\frac{a}{b})^{- 10}

\frac{x + 2}{x - 1} \leq 0

What is ((m^2-16n^2))/(\frac{3m+12n){mn}} ?
The solution to ((m^2-16n^2))/(\frac{3m+12n){mn}} is ((m-4n)mn)/3