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Chapter 8: Q 196 (page 953)

Add7v+5+9v-5.

Short Answer

Expert verified

The sum is16v+10(v+5)(v-5).

Step by step solution

01

Given Information

The Given expression is7v+5+9v-5.

02

Find the LCD of denominators.

Since there are no common factors in denominators.

The LCD is(v+5)(v-5).

03

Rewrite each fraction as an equivalent fraction with the LCD.

=7(v-5)(v+5)(v-5)+9(v+5)(v+5)(v-5)

Simplify.

=7v-35(v+5)(v-5)+9v+45(v+5)(v-5)

04

Add

Take common denominator and simplify numerator.

=7v-35+9v+45(v+5)(v-5)

=16v+10(v+5)(v-5)

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