How do you simplify #(3x) /(x^2 - 2x - 24) * (x - 6) / (6x^2)#?

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Answer 1 · 2018-07-28T05:25:56

#1/{2x(x+4)}#

Given expression

#\frac{3x}{x^2-2x-24}\cdot \frac{x-6}{6x^2}#

#=\frac{3x}{6x^2}\cdot \frac{x-6}{x^2-2x-24}#

#=\frac{1}{2x}\cdot \frac{x-6}{x^2-6x+4x-24}#

#=\frac{1}{2x}\cdot \frac{x-6}{x(x-6)+4(x-6)}#

#=\frac{1}{2x}\cdot \frac{x-6}{(x-6)(x+4)}#

#=\frac{1}{2x}\cdot \frac{1}{x+4}#

#=1/{2x(x+4)}#