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Chapter 8: Q 209 (page 954)

Subtracttt-6-t-2t+6.

Short Answer

Expert verified

The difference is2(7t-6)(t-6)(t+6).

Step by step solution

01

Given Information 

The Given expression istt-6-t-2t+6.

02

Find the LCD of denominators. 

Since there are no common denominators.

The LCD is(t-6)(t+6).

03

Rewrite each fraction as an equivalent fraction with the LCD. 

=t(t+6)(t-6)(t+6)-(t-2)(t-6)(t-6)(t+6)

Simplify.

role="math" localid="1648231588104" =t2+6t(t-6)(t+6)-t2-6t-2t+12(t-6)(t+6)

04

Subtract and simplify the numerator.

Take common denominator.

=t2+6t-(t2-8t+12)(t-6)(t+6)

=t2+6t-t2+8t-12(t-6)(t+6)

=14t-12(t-6)(t+6)

=2(7t-6)(t-6)(t+6)

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