Simplify the expression completely if possible. (x^(2)-13 x+40)/(5x^(2)-40 x) Answer:

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Simplify the expression completely if possible.  (x^(2)-13 x+40)/(5x^(2)-40 x) Answer:

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Identify Terms to Factor: Identify the terms in the numerator and the denominator that can be factored. The numerator x^2 - 13x + 40 is a quadratic expression that can be factored into two binomials. The denominator 5x^2 - 40x can be factored by taking out the common factor of 5x.Factor Numerator: Factor the numerator x^2 - 13x + 40. To factor the quadratic expression, we look for two numbers that multiply to 40 and add up to -13. These numbers are -8 and -5. So, x^2 - 13x + 40 = (x - 8)(x - 5).Factor Denominator: Factor the denominator 5x^2 - 40x. We can factor out the common term 5x, giving us 5x(x - 8). So, 5x^2 - 40x = 5x(x - 8).Divide Factored Terms: Divide the factored numerator by the factored denominator. We have (x - 8)(x - 5) / 5x(x - 8). We can cancel out the common factor of (x - 8) from the numerator and the denominator.Write Simplified Expression: Write the simplified expression. After canceling out the common factor, we are left with (x - 5) / 5x. This is the simplified form of the original expression.

Simplify the expression completely if possible. $\newline$ $\frac{x^{2}-13 x+40}{5 x^{2}-40 x}$ $\newline$ Answer:

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Simplify the expression completely if possible. $\newline$ $\frac{x^{2}-13 x+40}{5 x^{2}-40 x}$ $\newline$ Answer: