What is expand ((n+2)n^4)/((n+1)^5) ?

The solution to expand ((n+2)n^4)/((n+1)^5) is (n^5+2n^4)/(n^5+5n^4+10n^3+10n^2+5n+1)

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expand ((n+2)n^4)/((n+1)^5)

expand

\frac{( n + 2 ) n ^{4}}{( n + 1 ) ^{5}}

\frac{n ^{5} + 2 n ^{4}}{n ^{5} + 5 n ^{4} + 10 n ^{3} + 10 n ^{2} + 5 n + 1}

Solution steps

\frac{( n + 2 ) n ^{4}}{( n + 1 ) ^{5}}

(n + 1)^{5} = n^{5} + 5 n^{4} + 10 n^{3} + 10 n^{2} + 5 n + 1

= \frac{n ^{4} ( n + 2 )}{n ^{5} + 5 n ^{4} + 10 n ^{3} + 10 n ^{2} + 5 n + 1}

Expand

(n + 2) n^{4} : n^{5} + 2 n^{4}

= \frac{n ^{5} + 2 n ^{4}}{n ^{5} + 5 n ^{4} + 10 n ^{3} + 10 n ^{2} + 5 n + 1}

b (8, 2) yc (5, - 2)

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

\frac{1}{( 4 s ^{2} + 20 s + 29 ) ^{2} ( s ^{2} + 9 )}

(b f - ec - a f + c d + e a - b d)^{2} \cdot (a^{2} + b^{2} + c^{2})

(x - \frac{3}{4}) (x - 2)

What is expand ((n+2)n^4)/((n+1)^5) ?
The solution to expand ((n+2)n^4)/((n+1)^5) is (n^5+2n^4)/(n^5+5n^4+10n^3+10n^2+5n+1)