Step 1: Factor out the common factor (x4/3) of the equation [One way to think of it is to take out the common factor or multiply the equation by 1 or divide the equation by the factor]
(x4/3 / x4/3)(x10/3 - 9x4/3) = x4/3 (x10/3/ x4/3- 9x4/3/x4/3) = x4/3 (x(10-4)/3- 9x(4-4)/3) = x4/3 (x2-9)
Ans: x4/3 (x2-9)
Step 2: Completely factor the expression [Notice there is another expression that can be factored down, which is also called a difference of two perfect squares]
To solve the difference of two perfect squares which in this case is x2 and 9, just split them and assign a positive and negative. To check, you can multiply it out and check that (a+b)(a-b) = a2-b2.
x4/3 (x2-9) = x4/3 (x+3)(x-3)
Ans: x4/3 (x+3)(x-3)