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

The solution to expand n(n-1)(n-2)(n-3) is n^4-6n^3+11n^2-6n

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expand n(n-1)(n-2)(n-3)

expand

n (n - 1) (n - 2) (n - 3)

n^{4} - 6 n^{3} + 11 n^{2} - 6 n

Solution steps

n (n - 1) (n - 2) (n - 3)

Expand

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

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

Expand

n (n - 3) : n^{2} - 3 n

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

Distribute parentheses

= n^{2} n^{2} + n^{2} (- 3 n) + n^{2} \cdot 2 - 3 n n^{2} - 3 n (- 3 n) - 3 n \cdot 2

Simplify

n^{2} n^{2} + n^{2} (- 3 n) + n^{2} \cdot 2 - 3 n n^{2} - 3 n (- 3 n) - 3 n \cdot 2 : n^{4} - 6 n^{3} + 11 n^{2} - 6 n

= n^{4} - 6 n^{3} + 11 n^{2} - 6 n

(3 x^{2} - \frac{1}{12 x ^{2}})^{2}

20 0^{- 1} \cdot 100 + 10 0^{- 1} \cdot 200

x^{2} - 24 x + 80

(x^{2} - 3 y^{2})^{2}

What is expand n(n-1)(n-2)(n-3) ?
The solution to expand n(n-1)(n-2)(n-3) is n^4-6n^3+11n^2-6n