(1+i)^2 — step-by-step solution | Explain MAths

(1+i)^2

Let's calculate:

{(1 + i)}^{2}

(1 + i) \times (1 + i)

1 \times 1

+ 1 \times i

+ i \times 1

+ i \times i

ℹ

1 \times 1

=

1

‖

1 \times i

=

i

‖

i \times 1

=

i

‖

i \times i

=

i^{2}

1

+ i

+ i

+ i^{2}

ℹ

i + i

=

2 i

‖

i^{2}

=

-1

1 + 2 i - 1

0 + 2 i

▷Answer: $2 i$