а)12x + x^2 + 36 = x^2 + 12x + 36 = (x + 6)^2
б)16x^2 - 24xy + 9y^2 = (4x - 3y)^2
а)(6a + 2b)^2 - 24ab = 36a^2 + 24ab + 4b^2 - 24ab = 36a^2 + 4b^2 = 4(9a^2 + b^2)
б)-6x^3 - 3(x^3 - 1)^2 = -6x^3 - 3(x^6 - 2x^3 + 1) = -6x^3 - 3x^6 + 6x^3 - 3 = -3x^6 - 3
а)
12x + x^2 + 36 = x^2 + 12x + 36 = (x + 6)^2
б)
16x^2 - 24xy + 9y^2 = (4x - 3y)^2
а)
(6a + 2b)^2 - 24ab = 36a^2 + 24ab + 4b^2 - 24ab = 36a^2 + 4b^2 = 4(9a^2 + b^2)
б)
-6x^3 - 3(x^3 - 1)^2 = -6x^3 - 3(x^6 - 2x^3 + 1) = -6x^3 - 3x^6 + 6x^3 - 3 = -3x^6 - 3