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Chapter 8: Q 215 (page 954)

Subtract5aa+3-a+2a+6.

Short Answer

Expert verified

The difference is4a2+25a-6(a+3)(a+6).

Step by step solution

01

Given Information   

The Given expression is5aa+3-a+2a+6.

02

Find the LCD of denominators.   

Since there are no common denominators.

The LCD is(a+3)(a+6).

03

Rewrite each fraction as an equivalent fraction with the LCD.   

=5a(a+6)(a+3)(a+6)-(a+2)(a+3)(a+3)(a+6)

Simplify numerators.

=5a2+30a(a+3)(a+6)-a2+5a+6(a+3)(a+6)

04

Subtract and simplify the numerator.  

Take common denominator.

=5a2+30a-(a2+5a+6)(a+3)(a+6)

Simplify.

=5a2+30a-a2-5a-6(a+3)(a+6)

=4a2+25a-6(a+3)(a+6)

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