What is (n-(m^2)/n)((n^2)/m-m) ?

The solution to (n-(m^2)/n)((n^2)/m-m) is ((n^2-m^2)^2)/(mn)

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simplify (n-(m^2)/n)((n^2)/m-m)

simplify

(n - \frac{m ^{2}}{n}) (\frac{n ^{2}}{m} - m)

\frac{( n ^{2} - m ^{2} ) ^{2}}{mn}

Solution steps

(n - \frac{m ^{2}}{n}) (\frac{n ^{2}}{m} - m)

Join

n - \frac{m ^{2}}{n} : \frac{n ^{2} - m ^{2}}{n}

= \frac{n ^{2} - m ^{2}}{n} (\frac{n ^{2}}{m} - m)

Apply the fraction rule:

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

= \frac{( n ^{2} - m ^{2} ) ( \frac{n ^{2}}{m} - m )}{n}

Simplify

(n^{2} - m^{2}) (\frac{n ^{2}}{m} - m) : \frac{( n ^{2} - m ^{2} ) ( - m ^{2} + n ^{2} )}{m}

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

Apply the fraction rule:

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

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

Simplify

(n^{2} - m^{2}) (- m^{2} + n^{2}) : (n^{2} - m^{2})^{2}

= \frac{( n ^{2} - m ^{2} ) ^{2}}{mn}

2.5 sin (2.5 (x - 8.5))

\frac{10}{s ( s + 2 ) ( s + 4 )}

(x^{2} + 2 x y i - y^{2} - 2)^{2}

\frac{100 \cdot b \cdot z ^{2}}{( 10 \cdot z - 9 ) ^{2}}

(1 + 1 - 4 a)^{2}

What is (n-(m^2)/n)((n^2)/m-m) ?
The solution to (n-(m^2)/n)((n^2)/m-m) is ((n^2-m^2)^2)/(mn)