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

The solution to expand (n(n+1)(n+2))/6 is (n^3)/6+(n^2)/2+n/3

Popular >

expand (n(n+1)(n+2))/6

expand

\frac{n ( n + 1 ) ( n + 2 )}{6}

\frac{n ^{3}}{6} + \frac{n ^{2}}{2} + \frac{n}{3}

Solution steps

\frac{n ( n + 1 ) ( n + 2 )}{6}

Expand

n (n + 1) (n + 2) : n^{3} + 3 n^{2} + 2 n

= \frac{n ^{3} + 3 n ^{2} + 2 n}{6}

Apply the fraction rule:

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

\frac{n ^{3} + 3 n ^{2} + 2 n}{6} = \frac{n ^{3}}{6} + \frac{3 n ^{2}}{6} + \frac{2 n}{6}

= \frac{n ^{3}}{6} + \frac{3 n ^{2}}{6} + \frac{2 n}{6}

Cancel

\frac{3 n ^{2}}{6} : \frac{n ^{2}}{2}

= \frac{n ^{3}}{6} + \frac{n ^{2}}{2} + \frac{2 n}{6}

Cancel

\frac{2 n}{6} : \frac{n}{3}

= \frac{n ^{3}}{6} + \frac{n ^{2}}{2} + \frac{n}{3}

(0.5 x + 0.4 y = 0.125) (1000)

(\frac{6}{7} - x)^{4}

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

(a + 2 + \frac{7}{a - 5}) (a - 2 - \frac{5}{a + 2})

(a + b)^{3}

What is expand (n(n+1)(n+2))/6 ?
The solution to expand (n(n+1)(n+2))/6 is (n^3)/6+(n^2)/2+n/3