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19-01-2024
Mathematics

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Simplify the rational expression below. Show your work.

X^2-11x+18/x^2+2x-8

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HuzaifaFaheem HuzaifaFaheem

19-01-2024

Answer:

x - 9 / x + 4

Step-by-step explanation:

x² - 11x + 18 / x² + 2x - 8

= x² - 2x - 9x + 18 / x² - 2x + 4x - 8

= x (x - 2) - 9 (x - 2) / x (x - 2) + 4(x - 2)

= (x - 2)(x - 9) / (x - 2)(x + 4)

= x - 9 / x + 4

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