Question 182049
4x^2-9  
  _______ divided by 6x-9
  4x^2+12x+9
:
{{{((4x^2-9)/(4x^2+12x+9))/(3(2x-3))}}} expression 1
:
{{{4x^2-9=(2x+3)(2x-3)}}}
{{{4x^2+12x+9=(2x+3)(2x+3)}}}
:
so we will substitute these factors into exp 1 and invert the bottom fraction and multiply
:
{{{((2x+3)(2x-3))/((2x+3)(2x+3)*(3(2x-3)))}}}
:
{{{(cross((2x+3))cross((2x-3)))/(cross((2x+3))(2x+3)*(3cross((2x-3))))}}}
:
{{{1/(3(2x+3))}}}