Question

factorise
(x+1)³+(x-1)³​

Answer 1

Answer:

${(x + 1)}^{3} + {(x - 1)}^{3}$

applying the formula

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