Question 80222
Subtract and simplify:
{{{(y-2)/(y+3)-y/(2y+6)}}}
{{{((y-2)(2y+6)-y(y+3))/(y+3)(2y+6)}}} Simplify the numerator.
{{{(2y^2+2y-12-y^2-3y)/(y+3)(2y+6)}}}
{{{(y^2-y-12)/(y+3)(2y+6)}}} Factor the numerator.
{{{cross((y+3))(y-4)/cross((y+3))(2y+6)}}} Cancel the indicated factors.
{{{(y-4)/(2y+6)}}}
{{{(y-4)/2(y+3)}}}
You had:
{{{(3y-4)/2(y+3)}}}