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What is the standard form of (9 + 3₂)²?OA. 72OB. 78O C. 81 +9iOD. 72+54i

What is the standard form of (9 + 3₂)²?OA. 72OB. 78O C. 81 +9iOD. 72+54i-example-1
User Isaace
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1 Answer

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Recall that the standard form of a complex number is as follows:


a+ib.

To take the given number to its standard form, we multiply


(9+3i)

by itself using the distributive property:


(9+3i)(9+3i)=9(9+3i)+3i(9+3i)=81+27i+27i+9i^2.

Simplifying the above result, we get:


\begin{gathered} 81+54i-9, \\ 72+54i. \end{gathered}

Answer:


72+54\imaginaryI.

User Dlants
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