Simplify completely (x^2+x-12) / (x^2-x-20) : (3x^2-24+45) / (12x^2-48x-60)

To simplify the expression, we can check if there are terms that are needed to be added or subtracted. In this case, there are none. We get the factors of 4 equations present in the expression.

x^2+x-12 = {3,-4}

x^2-x-20 = {5,-4}

3x^2-24+45 = {5,3}

12x^2-48x-60 = {5,-1}

hence we cancel 5 and from numerator and denominator.

the answer is (x+4) ^2 / (x-5) * (x+1)