simplify fully: (x^2+x-6)/(x^2-7x+10)

First, the numerator and denominator of the fraction need to be factorised:(x+3)(x-2)/(x-5)(x-2)The 'like' terms should then be crossed out; in the case above, it is the (x-2) brackets.(x+3)(x-2)/(x-5)(x-2)Therefore, the final answer is:(x+3)/(x-5)