Question

Помогите решить 15 задание!!

Answer 1

${x}^{5} + x - 1 = \\ {x}^{5} - {x}^{4} + {x}^{4} - {x}^{3} + {x}^{3} - \\ - {x}^{2} + {x}^{2} - x + x - 1= \\ = {x}^{2} ( {x}^{3} + {x}^{2} - 1) - \\ - x( {x}^{3} + {x}^{2} - 1) + \\ + ( {x}^{3} + {x}^{2} - 1) = \\ = ( {x}^{3} + {x}^{2} - 1)( {x}^{2} - x + 1)$