How do I simplify this algebraic expression with a brain fart?

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The algebraic expression simplifies through a series of substitutions and factorizations. Starting with 2(2-x)^2 - x(2-x)^2 - (2/3)(2-x)^3, it can be factored to (2-x)(2-x)^2 - (2/3)(2-x)^3. By substituting (2-x) with A, the expression transforms into 2A^2 - xA^2 - (2/3)A^3. This leads to the simplified form of (1/3)A^3, which can be reverted back to (1/3)(2-x)^3. The final result is achieved by replacing A back with (2-x).
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I can't seem to see how this simplifies, having an algebra brain fart

2(2-x)^2-x(2-x)^2- 2/3 (2-x)^3

(2-x)(2-x)^2- 2/3 (2-x)^3

1/3(2-x)^3
 
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Let's replace (2-x) with A.
Then we have 2A^2 - xA^2 - (2/3)A^3
Then we get (2-x) A^2 - (2/3)A^3
since A=2-x, this gives
(A^3) - (2/3)A^3 = (1/3)A^3 ===> now just replace A with 2-x

approx
 
Thank you
 

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