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Subtracttt-5-t-1t+5.

Short Answer

Expert verified

The result is11t-5(t-5)(t+5).

Step by step solution

01

Given Information   

The Given expression istt-5-t-1t+5.

02

Find the LCD of denominators.    

Since there are no common denominators.

The LCD is(t-5)(t+5).

03

Rewrite each fraction as an equivalent fraction with the LCD.   

=t(t+5)(t-5)(t+5)-(t-1)(t-5)(t-5)(t+5)

=t2+5t(t-5)(t+5)-t2-t-5t+5(t-5)(t+5)

=t2+5t(t-5)(t+5)-t2-6t+5(t-5)(t+5)

04

Subtract and simplify the numerator.   

Take common denominator.

=t2+5t-(t2-6t+5)(t-5)(t+5)

=t2+5t-t2+6t-5(t-5)(t+5)

Simplify.

=11t-5(t-5)(t+5)

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