Question

Dane sa sumy algebraiczne: S= x - 1, T = x2 + x + 1, wyznacz S – T, iloczyn ST oraz S2, podaj w najprostszej postaci.

Answer 1

S = x - 1, T = x² + x + 1

S - T = x - 1 - (x² + x + 1) = x - 1 - x² - x - 1 = - x² - 2

ST = (x - 1)(x² + x + 1) = x³ + x² + x - x² - x - 1 = x³ - 1

S² = (x - 1)² = x² - 2x + 1