How do you simplify #(x^2+3x-18)/(x^2-36)#?

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Answer 1 · 2015-10-17T07:43:36

#(x^2+3x-18)/(x^2-36)#
=#(x^2+6x-3x-18)/((x+6)(x-6))#
=#(x(x+6)-3(x+6))/((x+6)(x-6))#
=#((x+6)(x-3))/((x+6)(x-6))#
=#(x-3)/(x-6)#