# How do you simplify # (3x^2 +4x -4) /( 3x^4 -2x^3)#?

After factoring the denominator and numerator, we cut whatever is present on each.

It's easy to find the denominator; just use the term with the highest commonality.

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To simplify the expression (3x^2 + 4x - 4) / (3x^4 - 2x^3), we can factor out the greatest common factor from both the numerator and the denominator. In this case, the greatest common factor is x^2. Factoring out x^2 from the numerator gives us x^2(3x + 4 - 4/x^2), and factoring out x^2 from the denominator gives us x^2(3x^2 - 2x).

Now, we can cancel out the x^2 terms in the numerator and denominator, leaving us with (3x + 4 - 4/x^2) / (3x^2 - 2x).

This is the simplified form of the expression (3x^2 + 4x - 4) / (3x^4 - 2x^3).

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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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