Решение
а) 2u³ - 2v³ = 2*(u - v)*(u² + uv + v²)
б) 3z³ + 3w³ = 3*(z + w)*(z² - zw + w²)
в) nx³ + nz³ = n*(x + z)*(x² - xz + z²)
г) w⁴ - w = w*(w³ - 1) = w*(w - 1)*(w² + w + 1)
д) z⁴ + 8z = z*(z³ + 2³) = z*(z + 2)*(z² - 2z + 4)
е) x⁴ - 16z⁴ = (x²)² - (4z²)² = (x² - 4z²)*(x² + 4z²) = (x - 2z)*(x + 2z)*(x² + 4z²)
ж) 81 - k⁴ = 9² - (k²)² = (9 - k²)*(9 + k²) = (3 - k)*(3 + k)*(9 + k²)