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How do you simplify #(9b^6 - 6b^3 + 2)/(3b^3)#?

Answer 1

Ethan Adkins

#3b^3 - 2 + (2b^-3)/3#

We can rewrite the expression as #(9b^6 - 6b^3)/(3b^3) + 2/(3b^3)#

We can factor the first fraction with #3b^3#, and cancel.

#(cancel(3b^3)(3b^3 - 2))/(cancel(3b^3)) = 3b^3 - 2#

#2/(3b^3) = 2 / 3 * b^-3 = (2b^-3)/3#

#3b^3 - 2 + (2b^-3)/3#

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Answer 2

Avery Alexander

To simplify the expression (9b^6 - 6b^3 + 2)/(3b^3), you can divide each term in the numerator by the denominator. This results in (9b^6)/(3b^3) - (6b^3)/(3b^3) + 2/(3b^3). Simplifying further, we get 3b^(6-3) - 2 + 2/(3b^3), which simplifies to 3b^3 - 2 + 2/(3b^3).

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Answer from HIX Tutor

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.