The question says "factor the expression":(2+x)-2/3x+(2+x)1/3 I factored out the power of (2+x) with the smallest exponent, which is (2+x)-2/3 , but the next step (this is an example from a text chapter) says  (2+x)-2/3(x+(2+x)), and I'm not sure how to get to the first x in the parentheses.

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Asked Aug 24, 2019
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The question says "factor the expression":

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

 

I factored out the power of (2+x) with the smallest exponent, which is (2+x)-2/3 , but the next step (this is an example from a text chapter) says 

 

(2+x)-2/3(x+(2+x)), and I'm not sure how to get to the first x in the parentheses. 

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Step 1

They got the first x from the first term. Th...

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2 (2+x) 3 X+(2+x) 2 2 (2+x) 3x (2+x) 3 =(2+x) 2 2 (2+x) (2+x) 2 (2+x) 3 X+ =(2+x) 2 (2+x)

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