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March 28, 2017

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Simplify x^2 - 9x + 18/ x^2 - 6x + 9 for all values of x for which the expression is defined.

A. x-3/x-6
B. x-6/x-3
C. x-1/x+9
D. x+9/x-1

Please explain how you work this problem in detail. Thanks.

  • Math - ,

    Assuming you mean
    (x^2 - 9x + 18)/ (x^2 - 6x + 9)
    = (x-6)(x-3)/((x-3)(x-3))
    = (x-6)/(x-3) , x ≠ 3

    which would have been B) with proper brackets.

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