Evaluate limits

Let A=(x+3)^(1/3) and B=x^(1/3)
then A-B=(A^3-B^3)/(A^2+AB+B^2)
=[(x+3)-x][(x+3)^(2/3)+(x^2+3x)^(1/3)+x^(2/3)]
=3/[(x+3)^(2/3)+(x^2+3x)^(1/3)+x^(2/3)]

lim x^(2/3)*(A-B)
=lim 3x^(2/3)/[(x+3)^(2/3)+(x^2+3x)^(1/3)+x^(2/3)]
=lim 3/[(1+3/x)^(2/3)+(1+3/x)^(1/3)+1]
=3/[1+1+1]
=1

Remark. I let A,B here is just easy for you to read, when you do it yourself, you may evaluate it directly.