What is expand (125(2n+1)(n+1))/6 ?

The solution to expand (125(2n+1)(n+1))/6 is (125n^2)/3+(125n)/2+125/6

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expand (125(2n+1)(n+1))/6

expand

\frac{125 ( 2 n + 1 ) ( n + 1 )}{6}

\frac{125 n ^{2}}{3} + \frac{125 n}{2} + \frac{125}{6}

Solution steps

\frac{125 ( 2 n + 1 ) ( n + 1 )}{6}

Expand

125 (2 n + 1) (n + 1) : 250 n^{2} + 375 n + 125

= \frac{250 n ^{2} + 375 n + 125}{6}

Apply the fraction rule:

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

\frac{250 n ^{2} + 375 n + 125}{6} = \frac{250 n ^{2}}{6} + \frac{375 n}{6} + \frac{125}{6}

= \frac{250 n ^{2}}{6} + \frac{375 n}{6} + \frac{125}{6}

Cancel

\frac{250 n ^{2}}{6} : \frac{125 n ^{2}}{3}

= \frac{125 n ^{2}}{3} + \frac{375 n}{6} + \frac{125}{6}

Cancel

\frac{375 n}{6} : \frac{125 n}{2}

= \frac{125 n ^{2}}{3} + \frac{125 n}{2} + \frac{125}{6}

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

lo g_{3} (x - 2)

16 ((x^{6 c} + 2 y^{5}) (x^{6 c} - 2 y^{5}))

(3 x - 1)^{2}

\frac{4 e ^{2 s} + s}{e ^{2 s} s ( s + 1 )}

What is expand (125(2n+1)(n+1))/6 ?
The solution to expand (125(2n+1)(n+1))/6 is (125n^2)/3+(125n)/2+125/6