展開する (k+1)!*(k+2)

解

展開する

(k + 1)! \cdot (k + 2)

k (k + 1)! + 2 (k + 1)!

解答ステップ

(k + 1)! (k + 2)

分配法則を適用する:

a (b + c) = ab + a c

a = (k + 1)!, b = k, c = 2

= (k + 1)! k + (k + 1)! \cdot 2

= k (k + 1)! + 2 (k + 1)!

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