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Chapter 7: Q. 23 (page 639)

Simplify the quotients in Exercises 21鈥�28 without using a calculator.

k!(k+2)!

Short Answer

Expert verified

The value is1(k+2)(k+1).

Step by step solution

01

Step 1. Given information.

The given expression isk!(k+2)!.

02

Step 2. Value of the expression.

We know,

n!=n(n-1)!Therefore,k!(k+2)!=k!(k+2)(k+1)k!=1(k+2)(k+1)

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