Question

what is the factorisation of x³+1​

Answer 1

The factors of (x³ + 1) are (x + 1)(x² - x + 1).

Step-by-step explanation:

The expansion of (a³ + b³) is:

(a³ + b³) = (a + b)(a² - ab + b²)

Compute the factors of (x³ + 1) as follows:

$(x^{3} + 1)=(x+1)[(x)^{2}-(x\times 1)+(1)^{2}]$

             $=(x+1)(x^{2}-x+1)$

Thus, the factors of (x³ + 1) are (x + 1)(x² - x + 1).