The value of $(1 + i)^{2}$ - $(1 - i)^{2}$ is __(give answer in terms of i)

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Solution

$(1 + i)^{2}$ = $1 + i^{2} + 2 i$ = $2 i$

$(1 - i)^{2}$ = $1 + i^{2} - 2 i$ = $- 2 i$

$(1 + i)^{2}$ - $(1 - i)^{2}$ = $2 i - (- 2 i)$ = $4 i$

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