# How do you multiply polynomials #[4 - (3c - 1)][6 - ( 3c - 1)]#?

First of all, you can simplify both expressions inside the square bracket: for the first one, you get

In the same fashion, for the second square bracket you get

Your multiplication is now written as

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To multiply the polynomials ([4 - (3c - 1)][6 - (3c - 1)]), you can use the distributive property:

([4 - (3c - 1)][6 - (3c - 1)] = [4 - 3c + 1][6 - 3c + 1])

Now, distribute each term in the first bracket to every term in the second bracket:

(= (4 \cdot 6) - (4 \cdot 3c) + (4 \cdot 1) - (3c \cdot 6) + (3c \cdot 3c) - (3c \cdot 1) + (1 \cdot 6) - (1 \cdot 3c) + (1 \cdot 1))

Simplify each term:

(= 24 - 12c + 4 - 18c + 9c^2 - 3c + 6 - 3c + 1)

Combine like terms:

(= 9c^2 - 36c + 35)

So, ([4 - (3c - 1)][6 - (3c - 1)] = 9c^2 - 36c + 35).

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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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