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Chapter 8: Q. 279 (page 966)

In the following exercises, simplify:

2x+53x-5+1x2-25.

Short Answer

Expert verified

The simplified rational expression is,2x-103x+16.

Step by step solution

01

Step 1. Given Information.

The rational expression is,

2x+53x-5+1x2-25.

02

Step 2. Simplifying the rational expression.

2x+53x-5+1x2-25

The LCD of the expression is, (x+5)(x-5),

=(x+5)(x-5)2x+5(x+5)(x-5)(3x-5+1x2-25)=(x+5)(x-5)(2x+5)(x+5)(x-5)(3x-5)+(x+5)(x-5)(1(x+5)(x-5))=2(x-5)3(x+5)+1=2x-103x+15+1=2x-103x+16

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