Question

разложить на множители x^6-x^4-x^2+1

Answer 1

x^6 - x^4 - x² + 1 = x^4 (x² - 1) - (x² - 1) = (x^4 - 1) (x² - 1) = (x² - 1) (x² + 1)(x² - 1) = (x - 1)(x + 1)(x² + 1)(x - 1)(x + 1) = (x² + 1)(x - 1)²(x + 1)²