#[x^2+(3-2)x-6]/(2x^2)*[2(x+4)]/[x^2+(3+4)x+12]#
#rArr [x^2+3x-2x-6]/[(cancel 2)x^2]*[(cancel 2)(x+4)]/[x^2+3x+4x+12]#
#rArr{x(x+3)-2(x+3)}/x^2*(x+4)/[x(x+3)+4(x+3)]#
#rArr[(x+3)(x-2)]/x^2*(x+4)/[(x+3)(x+4)]#
#rArr[(x-2){cancel(x+3)cancel(x+4)}]/[x^2{cancel(x+3)cancel(x+4)}]#
#rArr (x-2)/x^2#