Question 177742
{{{2/(x-3) + 3/(3-x)}}} Start with the given expression



{{{2/(x-3) + 3/(-1(x-3))}}} Factor the second denominator



{{{2/(x-3) - 3/(x-3)}}} Simplify



{{{(2-3)/(x-3)}}} Combine the fractions.



{{{-1/(x-3)}}} Combine like terms.



So {{{2/(x-3) + 3/(3-x)=-1/(x-3)}}} where {{{x<>3}}}