Question

factorise x^3-3x^2-9x-5​

Answer 1

Answer:

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

Explanation:

x³ - 3x² - 9x - 5 =

= x³ + x² - 4x² - 4x - 5x - 5 =

= x²( x + 1) - 4x ( x + 1) - 5(x + 1) =

= (x + 1)(x² - 4x - 5) =

= (x + 1)(x² -5x + x - 5) =

= (x + 1)(x - 5) (x + 1)

Answer 2

Explanation:

Given Equation is x^3 - 3x^2 - 9x - 5

= > x^3 - 4x^2 + x^2 - 5x - 4x - 5

= > x^3 - 4x^2 - 5x + x^2 - 4x - 5

= > x(x - 4x - 5) + 1(x^2 - 4x - 5)

= > (x + 1)(x^2 - 4x - 5)

= > (x + 1)(x^2 + x - 5x - 5)

= > (x + 1)(x(x + 1) - 5(x + 1))

= > (x + 1)(x + 1)(x - 5)

= > (x + 1)^2(x - 5).

Hope this helps!