What is expand (35(n+1)^2)/(27n(n+1)+6) ?

The solution to expand (35(n+1)^2)/(27n(n+1)+6) is (35n^2+70n+35)/(27n^2+27n+6)

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expand (35(n+1)^2)/(27n(n+1)+6)

expand

\frac{35 ( n + 1 ) ^{2}}{27 n ( n + 1 ) + 6}

\frac{35 n ^{2} + 70 n + 35}{27 n ^{2} + 27 n + 6}

Solution steps

\frac{35 ( n + 1 ) ^{2}}{27 n ( n + 1 ) + 6}

(n + 1)^{2} = n^{2} + 2 n + 1

= \frac{35 ( n ^{2} + 2 n + 1 )}{27 n ( n + 1 ) + 6}

Expand

27 n (n + 1) + 6 : 27 n^{2} + 27 n + 6

= \frac{35 ( n ^{2} + 2 n + 1 )}{27 n ^{2} + 27 n + 6}

Expand

35 (n^{2} + 2 n + 1) : 35 n^{2} + 70 n + 35

= \frac{35 n ^{2} + 70 n + 35}{27 n ^{2} + 27 n + 6}

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

x d y - 6 (y + x^{8}) d x

e^{x} (x - 1) (2 x + 1)

(6 x^{2} - y^{2}) d x - 14 x y d y

(x + πn)^{3}

What is expand (35(n+1)^2)/(27n(n+1)+6) ?
The solution to expand (35(n+1)^2)/(27n(n+1)+6) is (35n^2+70n+35)/(27n^2+27n+6)