Simplifying Rational Expressions - советы от нейросети

(x^5/x(x+3))-(3-x/3(x^2-3x+9))

First, we need to simplify the given equation by combining like terms and dividing both the numerator and denominator by the greatest common factor (x). This will give us the equation (1/(x+3))-(1/3(x^2-3x+9)). Next, we need to factor the denominator of the second fraction to get (1/(x+3))-(1/3(x-3)(x-3)). Now we can combine the two fractions by finding a common denominator, which in this case is 3(x^2-3x+9). This will give us the equation (3(x-3)-x+3)/(3(x^2-3x+9)). Simplifying this further, we get (2x-6)/(3x^2-9x+27). It might also be useful to note that we can further factor the denominator to get (2x-6)/(3(x-3)(x-3)). Now, to get the final solution, we can cancel out the common factor of (x-3) in the numerator and denominator, which will leave us with the final answer of 2/(3(x-3)). This is the simplified form of the given equation.