Question

помогите пожалуйста ​

Answer 1

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