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Chapter 8: Q 199 (page 953)

Add2yy+3+3y-1.

Short Answer

Expert verified

The sum is2y2+y+9(y+3)(y-1).

Step by step solution

01

Given Information 

The Given expression is2yy+3+3y-1.

02

Find the LCD of denominators. 

Since there are no common factors in denominators.

The LCD is(y+3)(y-1).

03

Rewrite each fraction as an equivalent fraction with the LCD. 

=2y(y-1)(y+3)(y-1)+3(y+3)(y+3)(y-1)

Simplify numerator.

=2y2-2y(y+3)(y-1)+3y+9(y+3)(y-1)

04

Add and simplify the numerator. 

Take common denominator.

=2y2-2y+3y+9(y+3)(y-1)

=2y2+y+9(y+3)(y-1)

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