how to solve 1=2 by algera

Although it is not possible but a kind of joke..

Proof" that 1 + 1 = 1
Let, a = 1
b = 1
a = b
a² = b²
a² - b² = 0
(a-b)(a+b) = 0
(a-b)(a+b)/(a-b) = 0/(a-b)
1(a+b) = 0
(a+b) = 0
1 + 1 = 0
2 = 0
1 = 0
1 + 1 = 1 ….….…....>>>HAPPY