How do you find the LCD for #2 /(2x+6)# , #15 /(2x^2 + 12x +18)#?
You find the LCD for polynomial expressions the same way you would with just numbers.
For polynomials, we apply the same logic. We try to find the smallest multiple of both polynomial denominators.
We are given two fractions which can be simplified first by factoring:
So we have these two fractions:
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To find the least common denominator (LCD) for the fractions 2/(2x+6) and 15/(2x^2 + 12x + 18), we need to factor the denominators and identify the common factors.
The denominator of the first fraction, 2x+6, can be factored as 2(x+3).
The denominator of the second fraction, 2x^2 + 12x + 18, can be factored as 2(x^2 + 6x + 9), which further simplifies to 2(x+3)(x+3).
The common factors in the denominators are 2 and (x+3).
Therefore, the LCD for the fractions is 2(x+3)(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.
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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