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Popular >

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

Solution

expand

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

Solution

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

Solution steps

(k + 1) (k + 1)!

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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