How do you multiply #(v ^ { 2}  7v  4) ( 6v ^ { 2}  3v  7)#?
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To multiply the given expressions, you can use the distributive property and combine like terms. Here are the steps:

Multiply the first terms of each binomial: (v^2)(6v^2) = 6v^4.

Multiply the first terms of each binomial: (v^2)(3v) = 3v^3.

Multiply the first terms of each binomial: (v^2)(7) = 7v^2.

Multiply the second terms of each binomial: (7v)(6v^2) = 42v^3.

Multiply the second terms of each binomial: (7v)(3v) = 21v^2.

Multiply the second terms of each binomial: (7v)(7) = 49v.

Multiply the third terms of each binomial: (4)(6v^2) = 24v^2.

Multiply the third terms of each binomial: (4)(3v) = 12v.

Multiply the third terms of each binomial: (4)(7) = 28.

Combine all the like terms obtained in the previous steps: 6v^4  3v^3  7v^2  42v^3 + 21v^2 + 49v  24v^2 + 12v + 28.

Simplify the expression by combining like terms: 6v^4  45v^3 + 10v^2 + 61v + 28.
Therefore, the product of (v^2  7v  4) and (6v^2  3v  7) is 6v^4  45v^3 + 10v^2 + 61v + 28.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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