What is expand ((1+a)^n+2)/((1+a)^{2n)} ?

The solution to expand ((1+a)^n+2)/((1+a)^{2n)} is 1/((1+a)^n)+2/((1+a)^{2n)}

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expand ((1+a)^n+2)/((1+a)^{2n)}

expand

\frac{( 1 + a ) ^{n} + 2}{( 1 + a ) ^{2 n}}

\frac{1}{( 1 + a ) ^{n}} + \frac{2}{( 1 + a ) ^{2 n}}

Solution steps

\frac{( 1 + a ) ^{n} + 2}{( 1 + a ) ^{2 n}}

Apply the fraction rule:

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

\frac{( 1 + a ) ^{n} + 2}{( 1 + a ) ^{2 n}} = \frac{( 1 + a ) ^{n}}{( 1 + a ) ^{2 n}} + \frac{2}{( 1 + a ) ^{2 n}}

= \frac{( a + 1 ) ^{n}}{( a + 1 ) ^{2 n}} + \frac{2}{( a + 1 ) ^{2 n}}

Cancel

\frac{( 1 + a ) ^{n}}{( 1 + a ) ^{2 n}} : \frac{1}{( a + 1 ) ^{n}}

= \frac{1}{( a + 1 ) ^{n}} + \frac{2}{( a + 1 ) ^{2 n}}

\frac{2 x + 11}{( x - 2 ) ( x + 3 )}

(w - \frac{3}{2}) (w + \frac{7}{2})

\frac{( x + 1 ) ( x - 3 )}{2}

3 x l e f t (5 x^{2} - 2 x + 1)

(10000 + x) (5 - 0.2 x)

What is expand ((1+a)^n+2)/((1+a)^{2n)} ?
The solution to expand ((1+a)^n+2)/((1+a)^{2n)} is 1/((1+a)^n)+2/((1+a)^{2n)}