Question

Factorise: x³ - 6x²+ 11x - 6 fast onfast fast​

Answer 1

Answer:

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

Step-by-step explanation:

Given :

x³ - 6x²+ 11x - 6

⇒ x³ - 5x² - x² + 6x + 5x - 6

⇒ x³ - 5x² + 6x - x² + 5x - 6

⇒ x(x² - 5x + 6) - 1(x² - 5x + 6)

⇒ (x - 1)(x² - 5x + 6)

⇒ (x - 1)(x² - 2x - 3x + 6)

⇒ (x - 1)(x(x - 2) - 3(x - 2))

⇒ (x - 1)(x - 2)(x - 3)

Hope it helps!Brainliest it sister!

Answer 2

$= > {x}^{2} \: - \: {6x}^{2} \: + \: 11x \: - 6$

$= > { - 5x}^{2} \: + \: 11x \: - \: 6$

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

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

$= > - 1 \: [5x(x - 1) \: - \: 6(x - 1)]$

$= > - 1(5x - 6) \: (x - 1)$