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Question
Reduce the following rational expression to its lowest form
`(9x^2 + 81x)/(x^3 + 8x^2 - 9x)`
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Solution
`(9x^2 + 81x)/(x^3 + 8x^2 - 9x)`
9x2 + 81x = 9x(x + 9)
x3 + 8x2 – 9x = x(x2 + 8x – 9)
= x (x + 9) (x – 1)
`(9x^2 + 81x)/(x^3 + 8x^2 - 9x) = (9x(x + 9))/(x(x + 9)(x - 1))`
= `9/(x - 1)`
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