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Chapter 8: Q. 293 (page 967)

Simplify

In the following exercises, use either method.

2a+41a2鈭�16

Short Answer

Expert verified

2a+41a2鈭�16=2(a-4)

Step by step solution

01

Step 1. Given information 

We have been given a complex rational expression 2a+41a2鈭�16.

We have to simplify it.

02

Step 2. Write the complex rational expression as a division problem. Multiply the first times by the reciprocal of the second.  

2a+41a2鈭�16=2a+4脳a2鈭�161

03

Step 3. Simplify

2a+4脳a2鈭�161=2a+4脳a2鈭�421=2a+4脳(a+4)(a-4)1=2(a-4)

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