Question

Factorize: x 3 – 6 x 2 + 11 x – 6 ​

Answer 1

$\huge\sf{\pink{\underline{\underline {♡Answer}}}}$

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

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

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

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

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

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

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

hope it helps you......