# How do you multiply and simplify the expression #2xy \cdot \frac{2y^2}{x^3}#?

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To multiply and simplify the expression 2xy multiplied by 2y^2 divided by x^3, we can follow these steps:

Step 1: Multiply the numerators together: 2xy * 2y^2 = 4xy^3. Step 2: Multiply the denominators together: x^3. Step 3: Simplify the expression by canceling out common factors between the numerator and denominator. In this case, we can cancel out one factor of x and one factor of y. Step 4: The simplified expression is 4y^3 / x^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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