# How do you find the product #4km^2(8km^2+2k^2m+5k)#?

Simplify:

Reassemble the variables and constants.

Divide the constants by two.

Simplify.

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To find the product, distribute (4km^2) across each term inside the parentheses:

[4km^2(8km^2+2k^2m+5k) = 4km^2 \cdot 8km^2 + 4km^2 \cdot 2k^2m + 4km^2 \cdot 5k]

Multiply each term:

- (4km^2 \cdot 8km^2 = 32k^2m^4)
- (4km^2 \cdot 2k^2m = 8k^3m^3)
- (4km^2 \cdot 5k = 20k^2m^2)

So, the product is:

[32k^2m^4 + 8k^3m^3 + 20k^2m^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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