# How do you add #\frac{3x-2}{x-2}+\frac{1}{x^2-4x+4}#?

by factoring out the denominator of the second quotient,

by combining the two quotients together,

by factoring out the numerator,

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To add the given expressions, (\frac{3x-2}{x-2}+\frac{1}{x^2-4x+4}), we first need to find a common denominator. The denominator of the first fraction is (x-2), and the denominator of the second fraction is ((x-2)^2).

To make the denominators the same, we can rewrite the second fraction as (\frac{1}{(x-2)(x-2)}).

Now that the denominators are the same, we can combine the fractions by adding their numerators and keeping the common denominator.

The numerator of the first fraction is (3x-2), and the numerator of the second fraction is (1).

Adding the numerators, we get (3x-2+1=3x-1).

Therefore, the sum of the two fractions is (\frac{3x-1}{x-2}).

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To add the given expressions, first find a common denominator, which is ( (x-2)(x-2) ). Then, combine the numerators and simplify the resulting expression. The simplified expression is ( \frac{3x^2 - 5x + 6}{(x - 2)^2} ).

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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.

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.

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.

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