Question 97205
{{{((x^2 - 4)/x)/((4x - 8)/x)}}} Start with the given expression



{{{((x^2 - 4)/x)*(x/(4x - 8))}}} Multiply by the reciprocal



{{{x(x^2 - 4)/x(4x - 8)}}} Combine the fractions



{{{cross(x)(x^2 - 4)/cross(x)(4x - 8)}}} Cancel out like terms



{{{(x^2 - 4)/(4x - 8)}}} Simplify



{{{(x^2 - 4)/4(x - 2)}}} Factor out the GCF



{{{(x+2)(x-2)/4(x - 2)}}} Factor 




{{{(x+2)cross(x-2)/(4*cross(x - 2))}}} Cancel out like terms



{{{(x+2)/4}}} Simplify