What is expand (n+1)(n+2)(n+3) ?

The solution to expand (n+1)(n+2)(n+3) is n^3+6n^2+11n+6

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expand (n+1)(n+2)(n+3)

expand

(n + 1) (n + 2) (n + 3)

n^{3} + 6 n^{2} + 11 n + 6

Solution steps

(n + 1) (n + 2) (n + 3)

Expand

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

= (n^{2} + 3 n + 2) (n + 3)

Distribute parentheses

= n^{2} n + n^{2} \cdot 3 + 3 nn + 3 n \cdot 3 + 2 n + 2 \cdot 3

Simplify

n^{2} n + n^{2} \cdot 3 + 3 nn + 3 n \cdot 3 + 2 n + 2 \cdot 3 : n^{3} + 6 n^{2} + 11 n + 6

= n^{3} + 6 n^{2} + 11 n + 6

\frac{2 ^{2}}{5} + (\frac{2}{5})^{2} - \frac{2 ^{0}}{5} + (\frac{2}{5})^{0}

(9 + m) (- m + 9)

3 + \frac{5}{2}

1 \frac{4}{5} \cdot 0.2

\frac{20}{- 10}

What is expand (n+1)(n+2)(n+3) ?
The solution to expand (n+1)(n+2)(n+3) is n^3+6n^2+11n+6