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Chapter 8: Q 167. (page 941)

Explain how you find the Least Common Denominator of x2+5x+4and x2鈭�16.

Short Answer

Expert verified

The LCD isx+4x-4x+1.

Step by step solution

01

Step 1. Given information.

Consider the given information.

x2+5x+4andx2-16

02

Step 2. Calculation.

Find the factor of the given expression.

x2+5x+4=x2+4x+x+4=xx+4+1x+4=x+4+x+1

And,

x2-16=x2-42=x+4x-4

Write the least common denominator.

LCD=x+4x-4x+1

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