What is expand (6+2i)^2 ?

The solution to expand (6+2i)^2 is 32+24i

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expand (6+2i)^2

expand

(6 + 2 i)^{2}

32 + 24 i

Solution steps

(6 + 2 i)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(6 + 2 i)^{2} = 6^{2} + 2 \cdot 6 \cdot 2 i + (2 i)^{2}

= 6^{2} + 2 \cdot 6 \cdot 2 i + (2 i)^{2}

Simplify

6^{2} + 2 \cdot 6 \cdot 2 i + (2 i)^{2} : 24 i + 32

= 24 i + 32

Rewrite in standard complex form:

32 + 24 i

= 32 + 24 i

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