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Chapter 8: Q. 8.114 (page 964)

Simplify:4y+5+2y+63yy2+11y+30

Short Answer

Expert verified

The simplified form of the given expression is 6y+343y.

Step by step solution

01

Step 1. Given information.

The given expression is:

4y+5+2y+63yy2+11y+30

02

Step 2. Rewrite the expression and then simplify.

The LCD of all the fractions in the whole expression is (y+5)(y+6). Clear the fractions by multiplying the numerator and denominator by that LCD.

role="math" localid="1647925388564" =(y+5)(y+6)路4y+5+2y+6(y+5)(y+6)路3yy2+11y+30=(y+5)(y+6)路4y+5+(y+5)(y+6)路2y+6(y+5)(y+6)路3y(y+5)(y+6)=4(y+6)+2(y+5)3y=4y+24+2y+103y=6y+343y

03

Step 3. Conclusion.

The simplified form of the given expression is 6y+343y.

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