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Okay sy match members Here we go What is this

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Some of twenty seven over x squared minus eighty one

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and three Acts over x squared minus 80 one Yeah

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So today's our lucky day these two fractions already have

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the same denominator right there Go right ahead and add

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the numerator is right So we got twenty seven plus

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three x Now we need to think about what we

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can cancel Well we'll have to factor the numerator and

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the denominator factor A three out of the numerator they're

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on We've got three times quantity nine plus x and

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then x squared minus eighty one Well that's x plus

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nine and x minus nine It looks just like that

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right You were tipped off that x squared and then

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nothing x and then a number there That's perfect square

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usually is a big hint on these kind of problems

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so recognize it All right well then we have nine

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plus acts is uh well x plus nine So cancel

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this factor from both sides of the fraction and we're

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left with three over x minus nine So the answer

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is b and that's it for ah goodbye to this 00:01:03.448 --> [endTime] section

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