Question

Factorise :x3- 6x2 +11x-6.​

Answer 1

$\textit{\large{\underline{\underline{\pink{Step by step Explanation:-}}}}}$

$x {}^{3} - 6x {}^{2} + 11x - 6 \\ = x {}^{3} - x {}^{2} - {5x}^{2} + 5x + 6x - 6 \\ = x {}^{2} (x - 1) - 5x(x - 1) + 6(x - 1) \\ = (x - 1)( {x}^{2} - 5 x + 6) \\ = (x - 1)( {x}^{2} - 3x - 2x + 6) \\ = (x - 1)( x(x - 3) - 2(x - 3)) \\ = (x - 1)(x - 3(x - 2) \: ans$

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