## Related questions with answers

Question

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

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Determine the product of the given complex numbers.

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

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