Simplify the expression completely if possible. (x^(2)-11 x+18)/(x^(4)-x^(3)) Answer:

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Simplify the expression completely if possible.  (x^(2)-11 x+18)/(x^(4)-x^(3)) Answer:

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Factor Numerator and Denominator: First, factor the numerator and the denominator if possible. The numerator is a quadratic expression that can be factored into two binomials. The denominator is a polynomial that can be factored by taking out the common factor x^3.Factor Numerator: Factor the numerator (x^2 - 11x + 18). We look for two numbers that multiply to 18 and add up to -11. These numbers are -9 and -2. So, (x^2 - 11x + 18) = (x - 9)(x - 2).Factor Denominator: Factor the denominator (x^4 - x^3). We can factor out an x^3, leaving us with x^3(x - 1). So, (x^4 - x^3) = x^3(x - 1).Simplify Expression: Now we simplify the expression by dividing the numerator by the denominator. We have (x - 9)(x - 2) / [x^3(x - 1)]. We notice that there are no common factors between the numerator and the denominator, so the expression cannot be simplified further.Final Answer: The final simplified expression is (x - 9)(x - 2) / [x^3(x - 1)]. Since we cannot simplify it further, this is our final answer.

Simplify the expression completely if possible. $\newline$ $\frac{x^{2}-11 x+18}{x^{4}-x^{3}}$ $\newline$ Answer:

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Simplify the expression completely if possible. $\newline$ $\frac{x^{2}-11 x+18}{x^{4}-x^{3}}$ $\newline$ Answer: