Question 63225
{{{ ((x^2-3x+2)/(8x-8))/((x^2-4)/(5x+10)) }}}
factor all parts
{{{ (((x-1)(x-2))/(8(x-1)))/(((x+2)(x-2))/(5(x+2))) }}}
Memorize and apply this rule:
{{{ (a/b)/(c/d) = ad/bc }}}
{{{ ((x-1)(x-2)(5(x+2)))/((8(x-1))(x+2)(x-2))) }}}
Cancel like quantities (x-1) and (x-2) and (x+2)
{{{ 5/8 }}}