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Subtract4n+4-8nn2-16.

Short Answer

Expert verified

The difference is-4n-4.

Step by step solution

01

Given Information  

The Given expression is4n+4-8nn2-16.

02

Find the LCD of denominators.    

Factor the denominators.

n2-16=(n+4)(n-4)

n+4=(n+4)

LCD=(n+4)(n-4)

Rewrite the expression in factored form.

=4n+4-8n(n+4)(n-4)

03

Rewrite each fraction as an equivalent fraction with the LCD.    

=4(n-4)(n+4)(n-4)-8n(n+4)(n-4)

=4n-16(n+4)(n-4)-8n(n+4)(n-4)

04

Subtract and simplify the numerator.   

Take common denominator.

=4n-16-8n(n+4)(n-4)

Simplify.

=-4n-16(n+4)(n-4)

=-4(n+4)(n+4)(n-4)

=-4n-4

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