So basically are doing keep change flip of ((x^2)/(x-1))/((3x^2)/(x+4)) keep ((x^2)/(x-1)) change the division symbol (/) to a multiplication symbol (*) and flip the denominator ((3x^2)/(x+4)) to ((x+4)/(3x^2)) now we are multiplying ((x^2)/(x-1)) by ((x+4)/(3x^2)). ((x^2)/(x-1))*((x+4)/(3x^2)) multiply the numerators and then multiply the denominators to get ((x^3)+(4x^2))/((3x^3)-(3x^2)) let's now extract x^2 from the numerator and 3x^2 from the denominator to get ((x^2)(x+4))/((3x^2)(x-1) now we can simplify it down to (x/3)((x+4)/(x-1))