To simplify this expression, we need to first find common denominators and combine like terms.
Given expression:
(36/x^2 - 9) - (x - 3/x) - (3x/3 - x) / (6/(3-x))
First, simplify the fractions inside the parentheses:
= (36/x^2 - 9) - (x^2 - 3) - (x) / (3)
Next, find common denominators and combine like terms:
= (36 - 9x^2) / x^2 - (4x + 3) / 3
Now, move the second fraction to the numerator:
= (36 - 9x^2 - (4x + 3)x^2) / (3x^2)
= (36 - 9x^2 - 4x^3 - 3x^2) / (3x^2)
= (36 - 12x^2 - 4x^3) / (3x^2)
= (-4x^3 - 12x^2 + 36) / (3x^2)
Therefore, the simplified expression is (-4x^3 - 12x^2 + 36) / 3x^2.
To simplify this expression, we need to first find common denominators and combine like terms.
Given expression:
(36/x^2 - 9) - (x - 3/x) - (3x/3 - x) / (6/(3-x))
First, simplify the fractions inside the parentheses:
= (36/x^2 - 9) - (x^2 - 3) - (x) / (3)
Next, find common denominators and combine like terms:
= (36 - 9x^2) / x^2 - (4x + 3) / 3
Now, move the second fraction to the numerator:
= (36 - 9x^2 - (4x + 3)x^2) / (3x^2)
= (36 - 9x^2 - 4x^3 - 3x^2) / (3x^2)
= (36 - 12x^2 - 4x^3) / (3x^2)
= (-4x^3 - 12x^2 + 36) / (3x^2)
Therefore, the simplified expression is (-4x^3 - 12x^2 + 36) / 3x^2.