Complex Numbers Multiplication Quiz
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Questions and Answers

What is the result of simplifying the expression 2i(3 + 2i)(4 - 2i)?

The result is 770.

What are the steps to simplify the expression 2i(3 + 2i)(4 - 2i) before arriving at the final answer?

First, multiply 3 + 2i and 4 - 2i to get a new complex number, then multiply that result by 2i.

In the expression 2i(3 + 2i)(4 - 2i), what role does i represent, and how does it affect the multiplication?

i represents the imaginary unit, and its presence in multiplication introduces complex numbers and their properties.

How can you confirm that your final answer of 770 for 2i(3 + 2i)(4 - 2i) is correct?

<p>You can verify it by checking each calculation step or using an algebraic tool to simplify the expression.</p> Signup and view all the answers

What common mistakes should be avoided when multiplying complex numbers in the expression 2i(3 + 2i)(4 - 2i)?

<p>Avoid miscalculating powers of <code>i</code>, as well as not properly combining like terms after multiplication.</p> Signup and view all the answers

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