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Question
Reduce the following rational expression to its lowest form
`(x^2 - 11x + 18)/(x^2 - 4x + 4)`
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Solution
`(x^2 - 11x + 18)/(x^2 - 4x + 4)`
x2 – 11x + 18 = (x – 9) (x – 2)
x2 – 4x + 4 = (x – 2) (x – 2)
`(x^2 - 11x + 18)/(x^2 - 4x + 4) = ((x - 9)(x - 2))/((x - 2)(x - 2))`
= `(x - 9)/(x - 2)`
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