Question

Factorise:x3 - 3x^2-9x-5​

Answer 1

Step-by-step explanation:

$x³ - 3x² - 9x - 5$

$x³ - 4x² + x² - 5x - 4x - 5$

$(x³ - 4x² - 5x) + (x² - 4x - 5)$

$x(x² - 4x - 5) + 1(x² - 4x - 5)$

$(x + 1)(x² - 4x - 5)$

$(x + 1)[x² - 5x + x - 5]$

$(x + 1)[x(x - 5) + 1(x - 5)]$

$(x + 1)(x + 1)(x - 5)$

$(x + 1)²(x - 5)$