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Chapter 8: Q 200 (page 953)

Add3zz-2+1z+5.

Short Answer

Expert verified

The sum is3z2+16z-2(z-2)(z+5).

Step by step solution

01

Given Information 

The Given expression is3zz-2+1z+5.

02

Find the LCD of denominators. 

Since there are no common factors in denominators.

The LCD is(z-2)(z+5).

03

Rewrite each fraction as an equivalent fraction with the LCD. 

=3z(z+5)(z-2)(z+5)+1(z-2)(z-2)(z+5)

Simplify numerator.

=3z2+15z(z-2)(z+5)+z-2(z-2)(z+5)

04

Add and simplify the numerator. 

Take common denominator.

=3z2+15z+z-2(z-2)(z+5)

=3z2+16z-2(z-2)(z+5)

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