Question 524290
{{{(x-1)/(x^2-4)}}}divided by {{{1+(1/(x-2))}}} Simplify the divisor to:
{{{1+(1/(x-2)) = ((x-2)+1)/(x-2)}}}={{{(x-1)/(x-2)}}}
So now you have:
{{{(x-1)/(x^2-4)}}}divided by{{{(x-1)/(x-2)}}} which is:
{{{((x-1)/(x^2-4))*((x-2)/(x-1))}}} Factor the denominator of the first fraction:
{{{(cross((x-1))/(cross((x-2))(x+2)))*(cross((x-2))/cross((x-1)))}}} Cancel the indicated factors to leave:
{{{highlight(1/(x+2))}}}