Quadratice equation

Factor the following quadratic expressions: 4x^2+8xy+4y^2. Please, I need to understand why one of the following answers is wrong. 1. 4x^2+8xy+4y^2 = 4x^2+4xy+4xy+4y^2 = 4x(x+y)+4y(x+y) so possible solutions are (4x+4y)(x+y) 2. 4x^2+8xy+4y^2 =(2x+2y)(2x+2y) —— possible solution: (2x+2y)^2 (…)