а) (a - b)(a² + ab + b²) + (a + b)(a² - ab + b²) = a³ - b³ + a³ + b³ = 2a³
б) (x + 2)(x² - 2x + 4)(x - 2)(x² + 2x + 4) = (x³ + 8)(x³ - 8) = x⁶ - 64
в) y(y - 1)(y + 1) - (y - 3)(y² + 3y + 9) = y(y² - 1) - (y³ - 27) = y³ - y - y³ + 27 = -y + 27
г) x(x + 3)² - (x + 2)(x² - 2x + 4) - 2(x - 2)(3x + 2) = x(x² + 6x + 9) - x³ - 6x² - 4x + 12x = x³ + 6x² + 9x - x³ - 6x² - 4x + 12x = 17x
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а) (a - b)(a² + ab + b²) + (a + b)(a² - ab + b²) = a³ - b³ + a³ + b³ = 2a³
б) (x + 2)(x² - 2x + 4)(x - 2)(x² + 2x + 4) = (x³ + 8)(x³ - 8) = x⁶ - 64
в) y(y - 1)(y + 1) - (y - 3)(y² + 3y + 9) = y(y² - 1) - (y³ - 27) = y³ - y - y³ + 27 = -y + 27
г) x(x + 3)² - (x + 2)(x² - 2x + 4) - 2(x - 2)(3x + 2) = x(x² + 6x + 9) - x³ - 6x² - 4x + 12x = x³ + 6x² + 9x - x³ - 6x² - 4x + 12x = 17x