а) (71)^2 = 5041б) 11^2 + 22*19 + 19^22 = 121 + 418 + 751 = 1290
а) (5x+2y)^2 + (5x-2y)^2 = 25x^2 + 20xy + 4y^2 + 25x^2 - 20xy + 4y^2 = 50x^2 + 8y^2б) (a+2b)^2 - (a+b)^2 = a^2 + 4ab + 4b^2 - (a^2 + 2ab + b^2) = 2ab + 3b^2
4x^2 - 4x - 4y - y^2 - 3 = (4x^2 - 4x) - (4y + y^2 + 3) = 4x(x - 1) - (y^2 + 4y + 3) = (4x - 1)(x - 1) - (y + 3)(y + 1)
а) (71)^2 = 5041
б) 11^2 + 22*19 + 19^22 = 121 + 418 + 751 = 1290
а) (5x+2y)^2 + (5x-2y)^2 = 25x^2 + 20xy + 4y^2 + 25x^2 - 20xy + 4y^2 = 50x^2 + 8y^2
б) (a+2b)^2 - (a+b)^2 = a^2 + 4ab + 4b^2 - (a^2 + 2ab + b^2) = 2ab + 3b^2
4x^2 - 4x - 4y - y^2 - 3 = (4x^2 - 4x) - (4y + y^2 + 3) = 4x(x - 1) - (y^2 + 4y + 3) = (4x - 1)(x - 1) - (y + 3)(y + 1)