Question

Factorisation of x3+1​

Answer 1

Answer:

(x+1)(x²-x+1)

Step-by-step explanation:

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

Formula used:

${a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )$

where;

$a = x \: \: \: \: \: \: and \: \: \: b = 1$