Question 80174
{{{((4x-24)/(x^2-2x))((8x)/(6-x))}}}


{{{(4(x-6)/(x^2-2x))((8x)/(6-x))}}} Factor out a 4 out of {{{4x-24}}} to get {{{4(x-6)}}}


{{{(4(x-6)/(x(x-2)))((8x)/(6-x))}}} Factor out an x out of {{{x^2-2x}}} to get {{{x(x-2)}}}


{{{(4(x-6)/(x(x-2)))((8x)/(-(x-6)))}}} Factor out a negative 1 out of {{{6-x}}} to get {{{-(x-6)}}}


{{{(4*highlight(x-6)/(highlight(x)(x-2)))((8*highlight(x))/(-highlight(x-6)))}}} Notice we have these common terms


{{{(4/(x-2))(8/(-1))}}}  They divide and cancel to 1


{{{(4*8/(-1(x-2)))}}} Multiply


{{{-32/(x-2)}}}Multiply everything out to simplify and divide by -1 to make the whole expression negative. This is our simplified answer.