Question

factorise a^3+b^3+a+b

Answer 1

$( {a}^{3} + {b}^{3} ) + a + b \\ {a}^{3} + {b}^{3} + 3ab \: (a + b) \: + a + b \\ {a}^{3} + {b}^{3} + 3 {a}^{2} b + 3ab^{2} + a + b \\( a + b) | {a}^{2} + {b}^{2} + 3ab + 3ab + 1 | \\ (a + b) | {a}^{2} + {b}^{2} + 2(3ab) + 1 | \\ (a + b) | {a}^{2} + {b}^{2} + 6ab + 1 |$