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Simplify: `x^5/3(x^7/3-x^7/2)`

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odessy | eNotes Newbie

Posted April 15, 2013 at 12:43 AM via web

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Simplify: `x^5/3(x^7/3-x^7/2)`

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 15, 2013 at 3:27 AM (Answer #1)

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The expression `x^5/3(x^7/3-x^7/2)` has to be simplified.

`x^5/3(x^7/3-x^7/2)`

=> `x^5/3((2x^7-3x^7)/6)`

=> `(x^5/3)*(-x^7/6)`

=> `-x^12/18`

The given expression `x^5/3(x^7/3-x^7/2)` = `-x^12/18`

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oldnick | Valedictorian

Posted April 15, 2013 at 4:27 PM (Answer #2)

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`x^5/3` `(x^7/3-x^7/2)=x^5/18(6x^7/3-6x^7/2)=x^5/18(2x^7-3x^7)=x^5/18(-x^7)=`

`=-x^(5+7)/18=-x^12/18`

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