Question

factorise x³+1.......​

Answer 1

x³ + 1

we can also write this as

x³ + 1³

now we know the formula of (a³ + b³)

so,

x³ + 1³

(x+1) (x²-x×1+1²)

(x+1) (x²-x+1)

Answer 2

using a³ + b³ = (a+b)(a²-ab+b²)

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