Any past/current A+ student good at Algebraic Expressions?

Question

I have this question on my homework and I've been struggling with it for over 30 minutes. I don't know exactly how to approach this equation, there are many ways to simply it but I do not know which one should i use.

Here is the equation:

(x^2+3)^ -1/3 - (2/3)x^2(x^2+3)^ -4/3

the answer is : (x^2 +3)^ -4/3[(1/3)x^2 +3]

hope you can read it. Please teach me how to solve this. Thank you.

Answer 1

(x^2+3)^ -1/3 - (2/3)x^2(x^2+3)^ -4/3=

1/(x^2+3)^1/3 - (2x^2)/3(x^2+3)^4/3=

lcm= 3(x^2+3)^4/3

[3(x^2+3) - 2x^2]/3(x^2+3)^4/3=

(3x^2+9-2x^2)/3(x^2+3)^4/3=

(x^2+9)/3(x^2+3)^4/3=

3(1/3x^2+3)/3(x^2+3)^4/3=

(1/3x^2+3)(x^2+3)^(-4/3).