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How do you simplify #(3x^3)/ (12x^2+ 9x)#?

Answer 1

Kennedy Adams

You can divide 'top'and 'bottom' by the same numbers.

One first condition/restriction is that #x!=0# or the numerator will be #=0#, which is not allowed.

After that we can divide everything by #3x#

#=x^2/(4x+3)#

Which gives us the next restriction: since #4x+3# is not allowed to be #=0->x!=-3/4#

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Answer 2

Isaiah Anthony

To simplify the expression (3x^3)/(12x^2 + 9x), we can factor out the greatest common factor from both the numerator and the denominator. In this case, the greatest common factor is 3x. Factoring it out, we get:

(3x^3)/(12x^2 + 9x) = (3x * x^2)/(3x * (4x + 3))

Next, we can cancel out the common factors of 3x:

(3x * x^2)/(3x * (4x + 3)) = (x^2)/(4x + 3)

Therefore, the simplified form of (3x^3)/(12x^2 + 9x) is (x^2)/(4x + 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.