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Question

Perform each operation. Write answers in standard form. (43i)2(4-3 i)^{2}

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Answered 2 years ago
Answered 2 years ago
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Determine the product of the given complex numbers.

=(43i)2Write the complex numbers=422(4)(3i)+(3i)2Use square of a binomial=162(4)(3i)+(9)(1)Evaluate the exponent=1624i9Multiply the values=724iCombine like terms\begin{align*} &= (4 - 3i)^{2} && \text{Write the complex numbers}\\ &= 4^{2} - 2(4)(3i) + (3i)^{2} && \text{Use square of a binomial}\\ &= 16 - 2(4)(3i) + (9)(-1) && \text{Evaluate the exponent}\\ &= 16 - 24i - 9 && \text{Multiply the values}\\ &= 7 - 24i && \text{Combine like terms} \end{align*}

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