Question

factorise x³-3x²-9x-5​

Answer 1

factorise of

x^3-3x^2-9x-5

Answer 2

Step-by-step explanation:

$x {}^{3} - 3x {}^{2} - 9x - 5 \\ = x {}^{3} + x {}^{2} - 4x {}^{2} - 4x - 5x - 5 \\ = x {}^{2}(x + 1) - 4x(x {}^{2} + 1) - 5(x + 1) \\ = (x + 1)(x {}^{2} - 4x - 5) \\ = (x + 1) (x {}^{2} - 5x + x - 5) \\ = (x + 1)(x(x - 5) + 1(x - 5) \\ = (x + 1)(x - 5)(x + 1) \\ = (x + 1)(x + 1)(x - 5) \\ = (x + 1) {}^{2}(x - 5)$

I hope it will help you!!