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How do you combine #7/(x-5) - (2+x)/(x-5) #?

Answer 1

Eva Adamson

#= (-(x - 5))/(x - 5) = -1#

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Answer 2

Kennedy Adams

To combine the expression 7/(x-5) - (2+x)/(x-5), we can simplify the numerator and then combine the fractions by finding a common denominator.

The numerator of the first fraction is 7, and the numerator of the second fraction is -(2+x).

To combine the fractions, we need a common denominator, which in this case is (x-5).

So, the expression can be simplified as follows:

7/(x-5) - (2+x)/(x-5) = (7 - (2+x))/(x-5)

Simplifying the numerator further:

7 - (2+x) = 7 - 2 - x = 5 - x

Therefore, the simplified expression is:

(5 - x)/(x-5)

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.