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Popular >

expand (n+1)*(n+1)!

Solution

expand

(n + 1) \cdot (n + 1)!

Solution

n (n + 1)! + (n + 1)!

Solution steps

(n + 1) (n + 1)!

= (n + 1)! (n + 1)

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Multiply:

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

= n (n + 1)! + (n + 1)!

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Frequently Asked Questions (FAQ)

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