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How do you factorize x^3 - x?

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tamanim | Student, Grade 11 | Honors

Posted March 22, 2013 at 7:02 AM via web

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How do you factorize x^3 - x?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted March 22, 2013 at 7:05 AM (Answer #1)

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The expression x^3 - x has to be factorized.

x^3 - x

= x(x^2 - 1)

= x*(x - 1)(x + 1)

The factorized form of x^3 - x is x*(x - 1)(x + 1)

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atyourservice | TA , Grade 10 | Valedictorian

Posted February 23, 2014 at 5:41 AM (Answer #2)

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`x^3 - x `  the both share x as their greatest common factor so just factor out x

`x(x^2-1)`

`x(x - 1)(x + 1)`

the factorized form would be `x(x - 1)(x + 1)`

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