To simplify the expression (3/x^2 - 3x) - (x/3x - 9), we need to find a common denominator and combine like terms.
For the first term, the common denominator is x^2, so we multiply the numerator and denominator of 3/x^2 by x to get 3x/x^2.
For the second term, the common denominator is 3x, so we multiply the numerator and denominator of -x/3x by -1 to get x/3x.
Now, let's rewrite the expression with the common denominators:
(3x/x^2 - x/3x) - (x/3x - 9)
Next, let's simplify the terms inside the parentheses:
(3x - x^2) - (x - 9(3x))
Expanding the second term inside the parentheses:
= 3x - x^2 - x + 27x
Combining like terms:
= (3x - x) - x^2 + 27x
Simplifying further:
= 2x - x^2 + 27x
Finally, let's reorder the terms in descending order of degree:
= -x^2 + 29x
Therefore, the simplified expression is -x^2 + 29x.
Subtract and simplify. Show your work.
3/x^2-3x - x/3x-9
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