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Chapter 7: Q. 406 (page 736)

In the following exercises, add and subtract.

a2+3aa2-4-3a-84-a2

Short Answer

Expert verified

The simplified expression is a+4a-2

Step by step solution

01

Step 1.Given expression

Expression

a2+3aa2-4-3a-84-a2
02

Step 2. Rewrite the second fraction   

a2+3aa2-4-3a-8-(a2-4)=a2+3aa2-4+3a-8(a2-4)

03

Step 3. Add the numerator of both fractions by keeping denominator same        

a2+3a+3a-8a2-4=a2+6a-8a2-4

04

Step 4. Factorize numerator and denominator 

a2+4a+2a+8(a)2-22=a(a+4)+2(a+4)(a-2)(a+2)=(a+2)(a+4)(a-2)(a+2)

05

Step 5. Cancel common factor of numerator and denominator 

a+4a-2

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