Question

Напишите 5 примеров "Квадрат суммы"и"Квадрат разнасти"))

Answer 1

$(11x + 2)^2 = 121x^2 + 44x + 4\\ (a + 5b)^2 = a^2 + 10b + 25b^2\\ (17 + x)^2 = 289 + 34x + x^2\\ (2a^2 + 3b^5)^2 = 4a^4 + 12a^2b^5 + 9b^{10}\\ (1 + x + y)^2 = 1 + 2(x + y) + (x + y)^2 = 1 + 2x + 2y + x^2 + 2xy + y^2$


$(z - 3)^2 = z^2 - 6z + 9\\ (2x - 3y) = 4x^2 - 12xy + 9y^2\\ (1 - 8a)^2 = 1 - 16a + 64a^2\\ (9m - n^3)^2 = 81m^2 - 18mn^3 + n^6\\ (a + b - c - d)^2 = (a + b)^2 - 2(a + b)(c + d) + (c + d)^2 =\\ = a^2 + 2ab + b^2 - 2ac - 2ad - 2bc - 2bd + c^2 + 2cd + d^2$