Simplify the following expression completely. (x^(2)+8x-20)/(x^(2)-12 x+20) Answer:

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Simplify the following expression completely.  (x^(2)+8x-20)/(x^(2)-12 x+20) Answer:

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Identify Factors: Identify the common factors in the numerator and the denominator. To do this, we need to factor both the numerator and the denominator. Factor the numerator: x^2 + 8x - 20. We are looking for two numbers that multiply to -20 and add to 8. These numbers are 10 and -2. So, the factored form of the numerator is (x + 10)(x - 2).Factor Numerator: Factor the denominator: x^2 - 12x + 20. We are looking for two numbers that multiply to 20 and add to -12. These numbers are -10 and -2. So, the factored form of the denominator is (x - 10)(x - 2).Factor Denominator: Now, we rewrite the expression with the factored numerator and denominator: ((x + 10)(x - 2)) / ((x - 10)(x - 2)).Rewrite Expression: Cancel out the common factors. We see that (x - 2) is a common factor in both the numerator and the denominator, so we can cancel it out: (x + 10) / (x - 10).Cancel Common Factors: The expression is now simplified to: (x + 10) / (x - 10). This is the simplest form of the expression, as there are no common factors left to cancel out.

Simplify the following expression completely. $\newline$ $\frac{x^{2}+8 x-20}{x^{2}-12 x+20}$ $\newline$ Answer:

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Simplify the following expression completely. $\newline$ $\frac{x^{2}+8 x-20}{x^{2}-12 x+20}$ $\newline$ Answer: