Question

Demonstrati ca x la puterea 4-2x la puterea 3 + 2x la puterea 2 - 2x +1 = (x-1)la puterea 2(x la puterea 2 + 1), oricare ar fi numarul real x

Answer 1

(x^4 - 2x³ + x²) + (x²-2x +1) = x²(x² - 2x + 1) + (x² - 2x + 1) = (x² + 1)(x - 1)²