Perform the milliard operation anti amplify If possible x216

Perform the milliard operation anti amplify If possible. x^2-16/x^2+4x+x^2+6x+1/2x+4 (x-a)(x^2+6x+1)/2x(x+2) (x+4)(x^2+6x+1/2x(x+2)

Solution

32) (x^2 - 16)/(x^2 +4x) / (x^2 +6x +1)/(2x +4)

(x^2 -16)/(x(x+4/ (x^2 +6x +1)/2(x +2)

(x+4)(x -4)/(x(x+4)/ (x^2 +6x +1)/2(x +2)

(x-4)/x/ (x^2 +6x +1)/2(x +2)

2(x -4)(x+2)/x(x^2 +6x +1)

Option D