А) m^3 - 1 = (m - 1)(m^2 + m + 1)
Б) 64a^3 + 1000b^3 = 4^3(4a^3 + 25b^3) = 4^3(2a + 5b)(8a^2 - 10ab + 25b^2)
В) (x+3)^3 - (x + 2)^3 = (x+3 - x - 2)((x+3)^2 + (x+3)(x+2) + (x+2)^2) = (1)(x^2 + 5x + 9 + x^2 + 5x + 6 + x^2 + 4x + 4) = 3x^2 + 14x + 19
А) m^3 - 1 = (m - 1)(m^2 + m + 1)
Б) 64a^3 + 1000b^3 = 4^3(4a^3 + 25b^3) = 4^3(2a + 5b)(8a^2 - 10ab + 25b^2)
В) (x+3)^3 - (x + 2)^3 = (x+3 - x - 2)((x+3)^2 + (x+3)(x+2) + (x+2)^2) = (1)(x^2 + 5x + 9 + x^2 + 5x + 6 + x^2 + 4x + 4) = 3x^2 + 14x + 19