What is (2(n+1)(2(n+1)+1)(4(n+1)+1))/6 ?

The solution to (2(n+1)(2(n+1)+1)(4(n+1)+1))/6 is ((n+1)(2n+3)(4n+5))/3

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simplify (2(n+1)(2(n+1)+1)(4(n+1)+1))/6

simplify

\frac{2 ( n + 1 ) ( 2 ( n + 1 ) + 1 ) ( 4 ( n + 1 ) + 1 )}{6}

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

Solution steps

\frac{2 ( n + 1 ) ( 2 ( n + 1 ) + 1 ) ( 4 ( n + 1 ) + 1 )}{6}

Cancel

\frac{2 ( n + 1 ) ( 2 ( n + 1 ) + 1 ) ( 4 ( n + 1 ) + 1 )}{6} : \frac{( n + 1 ) ( 2 ( n + 1 ) + 1 ) ( 4 ( n + 1 ) + 1 )}{3}

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

Simplify

(n + 1) (2 (n + 1) + 1) (4 (n + 1) + 1) : (n + 1) (2 n + 3) (4 n + 5)

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

- 12 \leq - 3 g

12 x^{2} - 13 x y - 4 y^{2}

\frac{1}{4} + \frac{1}{12}

\frac{7}{5} - \frac{1}{2}

y^{2} - 5 y - 14

What is (2(n+1)(2(n+1)+1)(4(n+1)+1))/6 ?
The solution to (2(n+1)(2(n+1)+1)(4(n+1)+1))/6 is ((n+1)(2n+3)(4n+5))/3