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Chapter 8: Q 243 (page 954)

Add4x-2+3x+5.

Short Answer

Expert verified

The sum is7(x+2)(x-2)(x+5).

Step by step solution

01

Given Information   

The Given expression is4x-2+3x+5.

02

Find the LCD of denominators.

Since there are no common denominators.

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

03

Rewrite each fraction as an equivalent fraction with the LCD.    

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

=4x+20(x-2)(x+5)+3x-6(x-2)(x+5)

04

Add and simplify the numerator.    

Take common denominator.

=4x+20+3x-6(x-2)(x+5)

Simplify numerator.

=7x+14(x-2)(x+5)

=7(x+2)(x-2)(x+5)

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