What is expand (4x(4n-4x))/(n^2) ?

The solution to expand (4x(4n-4x))/(n^2) is (16x)/n-(16x^2)/(n^2)

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expand (4x(4n-4x))/(n^2)

expand

\frac{4 x ( 4 n - 4 x )}{n ^{2}}

\frac{16 x}{n} - \frac{16 x ^{2}}{n ^{2}}

Solution steps

\frac{4 x ( 4 n - 4 x )}{n ^{2}}

Expand

4 x (4 n - 4 x) : 16 n x - 16 x^{2}

= \frac{16 n x - 16 x ^{2}}{n ^{2}}

Apply the fraction rule:

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

\frac{16 n x - 16 x ^{2}}{n ^{2}} = \frac{16 n x}{n ^{2}} - \frac{16 x ^{2}}{n ^{2}}

= \frac{16 n x}{n ^{2}} - \frac{16 x ^{2}}{n ^{2}}

Cancel

\frac{16 n x}{n ^{2}} : \frac{16 x}{n}

= \frac{16 x}{n} - \frac{16 x ^{2}}{n ^{2}}

\frac{( e ^{\frac{y}{t}} )}{( e ^{\frac{y}{t}} - 1 ) ^{2}}

- 2 (7 - - 2) + 57

\frac{k}{x ^{2} ( 3 x + 4 ) ( x ^{2} - x + 6 ) ^{2}}

(cos (x) - cos (5 x)) sec (2 x)

6 x^{2} + 3 x \cdot (9 x^{2} - 8 x + 8)

What is expand (4x(4n-4x))/(n^2) ?
The solution to expand (4x(4n-4x))/(n^2) is (16x)/n-(16x^2)/(n^2)