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What is the difference of the rational expressions below?

What is the difference of the rational expressions below?-example-1

1 Answer

2 votes

Answer: A

Explanation:

We need to get the denominators to be same first before we can do anything to the numerator.

The LCD (lowest common denominator) is
3x^(3). To find the LCD, multiply the denominators together:
x^(3) ·
3x =
3x^{3.

Below, we are trying to get the denominators to equal the same or to
3x^(3).


(3)/(3) ((4)/(x^(3) ) ) - (x^(2) )/(x^(2) ) ((2x-1)/(3x) )


(12)/(3x^(3) ) - (2x^(3)-x^(2) )/(3x^(3) )

Now that the denominators are the same, we can subtract the numerators from each other.


( 12 - (2x^(3) -x^(2))\\)/(3x^(3) ) \\


(12-2x^(3) +x^(2) )/(3x^(3) )

Now, we can just reorganize the variables.

Answer: A or
(-2x^(3) + x^(2)+12 )/(3x^(3) )

User Jeff Glass
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