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Chapter 8: Q 193 (page 953)

Add3r+4+2r-5.

Short Answer

Expert verified

The sum is5r-7(r+4)(r-5).

Step by step solution

01

Given Information

The Given expression is3r+4+2r-5.

02

Find the LCD of denominators.

Since there is no common factors,

The LCD is(r+4)(r-5).

03

Rewrite each fraction as an equivalent fraction with the LCD.

=3(r-5)(r+4)(r-5)+2(r+4)(r+4)(r-5)

Simplify numerator.

=3r-15(r+4)(r-5)+2r+8(r+4)(r-5)

04

Add

Take common denominator and simplify numerator.

=3r-15+2r+8(r+4)(r-5)

=5r-7(r+4)(r-5)

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