# What is the LCD of #\frac { x + 5} { 4x - 12} - \frac { 2} { x - 3}#?

See solution explanation below:

and the expression can be rewritten as:

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To find the LCD (Least Common Denominator) of the given expression (\frac{x+5}{4x-12} - \frac{2}{x-3}), you need to identify the common factors in the denominators and then take their least common multiple.

The denominators are (4x - 12) and (x - 3).

The prime factorization of (4x - 12) is (4(x - 3)), and the prime factorization of (x - 3) is (x - 3).

The LCD is (4(x - 3)).

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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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