What is expand (5n(n+1)(2n-1))/3 ?

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

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expand (5n(n+1)(2n-1))/3

expand

\frac{5 n ( n + 1 ) ( 2 n - 1 )}{3}

\frac{10 n ^{3}}{3} + \frac{5 n ^{2}}{3} - \frac{5 n}{3}

Solution steps

\frac{5 n ( n + 1 ) ( 2 n - 1 )}{3}

Expand

5 n (n + 1) (2 n - 1) : 10 n^{3} + 5 n^{2} - 5 n

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

Apply the fraction rule:

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

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

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

(x + y)^{2} d x

\frac{8 ( 4 - x ^{2} )}{( 4 + x ^{2} ) ^{2}}

(6 + \frac{7 x}{lo g _{10} ( x ^{2} + 5 )}) (x)

(x - 2)^{5}

(2 cos (x) - 2 cos (2 x))^{2}

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