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Chapter 8: Q 213 (page 954)

Subtracty-4y+1-1y+7.

Short Answer

Expert verified

The difference isy2-2y-29(y+1)(y+7).

Step by step solution

01

Given Information   

The Given expression is y-4y+1-1y+7.

02

Find the LCD of denominators. 

Since there are no common denominators.

The LCD is(y+1)(y+7).

03

Rewrite each fraction as an equivalent fraction with the LCD.   

=(y-4)(y+7)(y+1)(y+7)-1(y+1)(y+1)(y+7)

Simplify the numerator.

=y2-4y+7y-28(y+1)(y+7)-y+1(y+1)(y+7)

=y2-3y-28(y+1)(y+7)-y+1(y+1)(y+7)

04

Subtract and simplify the numerator.  

Take common denominator.

=y2-3y-28-(y+1)(y+1)(y+7)

Simplify.

=y2-3y-28-y-1(y+1)(y+7)

=y2-2y-29(y+1)(y+7).

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