# How do you multiply #(x^3+1 )/(x^3-x^2+x)*(3x)/(-12x - 12)#?

use of two things

factorization of the numerator and denominator

cancelling out the common terms

now cancelling x and dividing 12 with 3 we get

now cancelling the common terms in denominator we get

now cancelling common terms in numerator and denominator

we get the final answer to be

please feel free to update the answer if it is wrong

Cheerio!

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To multiply the given expression, we can follow these steps:

Step 1: Simplify the expression in the numerator and denominator separately. Numerator: (x^3 + 1) Denominator: (x^3 - x^2 + x)

Step 2: Multiply the simplified numerator by the simplified denominator. (x^3 + 1) * (3x) / (x^3 - x^2 + x) * (-12x - 12)

Step 3: Expand and combine like terms in the numerator and denominator. (3x^4 + 3x) / (-12x^4 + 12x^3 - 12x^2 - 12x)

Therefore, the simplified expression is (3x^4 + 3x) / (-12x^4 + 12x^3 - 12x^2 - 12x).

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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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