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Popular >

expand (k+1)(k+!)!

Solution

expand

(k + 1) (k +!)!

Solution

k (! k)! + (! k)!

Solution steps

(k + 1) (k +!)!

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Multiply:

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

= k (! k)! + (! k)!

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Frequently Asked Questions (FAQ)

What is expand (k+1)(k+!)! ?
The solution to expand (k+1)(k+!)! is k(!k)!+(!k)!