How do you simplify (1 + i)²?

(1+i)2

We can simplify using the identity

(a + b)² = a² + 2ab + b²

(1+i)2= 1 + 2i + i2

We know that i2= -1

substituting the value in above equation we get

(1+i)²= 1 + 2i + (-1)

=2i