Question

Factorize: x ^3 – 6 x^2+ 11 x – 6  ​ please do fast

Answer 1

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Answer 2

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${x}^{3} - 6 {x}^{2} + 11x - 6$

$= {x}^{3} - {x}^{2} - 5 {x}^{2} + 5x + 6x - 6$

$= {x}^{2} (x - 1) - 5x(x - 1) + 6(x - 1)$

$= (x - 1)( {x}^{2} - 5x + 6)$

$= (x - 1)( {x}^{2} - 2x - 3x + 6)$

$= (x - 1)(x(x - 2) - 3(x - 2))$

$= (x - 1)(x - 2)(x - 3)$

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