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Chapter 8: Q 8.93 (page 950)

Subtract:3x-1x2-5x-6-26-x

Short Answer

Expert verified

The simplification of the expression is5x+1x+1x-6.

Step by step solution

01

Given information 

The given rational expression is3x-1x2-5x-6-26-x.

02

The simplification of the rational expression 


=3x-1x2-5x-6-26-x

Factor the denominator

=3x-1x2-6x+x-6-26-x=3x-1xx-6+x-6-26-x=3x-1x+1x-6-26-x

Since n-6and6-nare opposites ,we will multiply the second rational expression by -1-1.

=3x-1x+1x-6--2-6-x=3x-1x+1x-6--2x-6

The LCD of the rational expression is x+1x-6.

Rewrite each rational expression as an equivalent rational expression with the LCD.

localid="1657069728617" =3x-1x+1x-6--2x+1x-6x+1Simplify=3x-1+2x+2x+1x-6=5x+1x+1x-6

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