= [2.(x+y)]^2 - 2.2.(x+y) + 1^2
={[2.(x+y)]-1}^2
`#3107.101107`
`4(x + y)^2 - 4(x + y) + 1`
Đặt `a = 2(x + y)`
Ta có:
`4(x + y)^2 = 2^2 * (x + y)^2 = [ 2(x + y)]^2 = a^2` `(1)`
`4(x + y) = 2^2 * (x + y) = 2 * 2(x + y) * 1 = 2a` `(2)`
`1 = 1^2` `(3)`
Từ `(1), (2)` và `(3)`
`=> a^2 - 2a + 1 = (a - 1)^2`
Mà `a = 2(x + y)`
`=> [ 2(x + y) - 1]^2`