Question

Factorise : x³ - 3x² - 9x - 5​

Answer 1

Answer:

x^2(x-9)-1(9x-5)

This is the correct answer

Answer 2

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$\longmapsto \sf {x}^{3} - 3 {x}^{2} - 9x - 5$

$\longmapsto \sf {x}^{3} + {x}^{2} - 4 {x}^{2} - 4x - 5x- 5$

$\longmapsto \sf {x}^{2} (x + 1) - 4x(x + 1) - 5(x + 1)$

$\longmapsto \sf(x + 1)( {x}^{2} - 4x - 5)$

$\longmapsto \sf(x + 1)( {x}^{2} - 5x + x -5)$

$\longmapsto \sf(x + 1) \: x(x - 5) + 1(x - 5)$

$\longmapsto \sf(x + 1)(x + 1)(x - 5)$

$\longmapsto \sf{(x + 1)}^{2} (x - 5)$