How do you factor #5x^3 - 40#?
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To factor (5x^3 - 40), you first identify the greatest common factor (GCF) of the terms. In this case, the GCF is 5.
So, you can factor out 5:
(5(x^3 - 8))
Next, you can factor (x^3 - 8) using the difference of cubes formula, which states that (a^3 - b^3 = (a - b)(a^2 + ab + b^2)). Here, (a = x) and (b = 2).
(x^3 - 8 = (x - 2)(x^2 + 2x + 4))
Therefore, the factored form of (5x^3 - 40) is (5(x - 2)(x^2 + 2x + 4)).
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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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