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Chapter 7: Q. 179 (page 680)

Simplify a Complex Rational Expression by Using the LCD.

In the following exercises, simplify each complex rational expression by using the LCD.

4a2-2a-151a-5+2a+3.

Short Answer

Expert verified

The simplification is43a-7.

Step by step solution

01

Step 1. Given. 

The given complex rational expression is: 4a2-2a-151a-5+2a+3.

02

Step 2. To find

We have to simplify each complex rational expression by using the LCD.

03

Step 3. Calculation

LCM of the denominators is =(a+3)(a-5). Multiply numerator and denominator by it to simplify.

4a2-2a-151a-5+2a+3=4a2-2a-15(a-5)(a+3)1a-5(a-5)(a+3)+2a+3(a-5)(a+3)=4(a+3)+2(a-5)=4a+3+2a-10=43a-7

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