Question 368357
Use the common denominator, {{{x^2-4=(x-2)(x+2)}}},
{{{3/(2x-4)-6/(x^2-4)=((3/2)(x+2))/((x-2)(x+2))-6/(x^2-4)}}}
{{{3/(2x-4)-6/(x^2-4)=((3/2)(x+2)-6)/(x^2-4)}}}
{{{3/(2x-4)-6/(x^2-4)=((3/2)x+3-6)/(x^2-4)}}}
{{{3/(2x-4)-6/(x^2-4)=((3/2)x-3)/(x^2-4)}}}
{{{3/(2x-4)-6/(x^2-4)=((3/2)(x-2))/((x-2)(x+2))}}}
{{{3/(2x-4)-6/(x^2-4)=highlight(3/(2(x+2)))}}}