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

The solution to expand ((-2n+k)^2)/(4n^2) is 1-k/n+(k^2)/(4n^2)

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expand ((-2n+k)^2)/(4n^2)

expand

\frac{( - 2 n + k ) ^{2}}{4 n ^{2}}

1 - \frac{k}{n} + \frac{k ^{2}}{4 n ^{2}}

Solution steps

\frac{( - 2 n + k ) ^{2}}{4 n ^{2}}

(- 2 n + k)^{2} = 4 n^{2} - 4 nk + k^{2}

= \frac{4 n ^{2} - 4 nk + k ^{2}}{4 n ^{2}}

Apply the fraction rule:

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

\frac{4 n ^{2} - 4 nk + k ^{2}}{4 n ^{2}} = \frac{4 n ^{2}}{4 n ^{2}} - \frac{4 nk}{4 n ^{2}} + \frac{k ^{2}}{4 n ^{2}}

= \frac{4 n ^{2}}{4 n ^{2}} - \frac{4 nk}{4 n ^{2}} + \frac{k ^{2}}{4 n ^{2}}

Apply rule

\frac{a}{a} = 1

\frac{4 n ^{2}}{4 n ^{2}} = 1

= 1 - \frac{4 nk}{4 n ^{2}} + \frac{k ^{2}}{4 n ^{2}}

Cancel

\frac{4 nk}{4 n ^{2}} : \frac{k}{n}

= 1 - \frac{k}{n} + \frac{k ^{2}}{4 n ^{2}}

\frac{π ( 11 - x ) ^{2}}{2}

f (t, x) (t = 2 + 4 e^{- 2 x})

- (q V - r) \Rightarrow - (p V - p)

\frac{( 3 ( x - h ) ^{2} - 3 x ^{3} )}{h}

1 - \frac{a ^{1}}{a ^{2}}

What is expand ((-2n+k)^2)/(4n^2) ?
The solution to expand ((-2n+k)^2)/(4n^2) is 1-k/n+(k^2)/(4n^2)