Algebra

Simplify the rational expression and write the restriction for the simplified rational expression.
x^3 - 8
-----------------------
x^2 + xy - 2x - 2y

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  1. x^3-8 = (x-2)(x^2 + 2x + 4)
    x^2 + xy - 2x - 2y = (x-2)(x+y)

    so, the fraction is

    x^2+2x+4
    -------------
    x+y

    as long as x-2 and x+y are not zero

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  2. -6x+5=47 x

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