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Select all expressions that are equivalent to \(8+16i\).
\(2(4+8i)\)
\(2i(8-4i)\)
\(4(2i-4)\)
\(4i(4-2i)\)
\(\text-2i(\text-8-4i)\)
Which expression is equivalent to \((\text-4 + 3i)(2-7i)\)?
\(\text-29 - 22i\)
\(\text-29 + 34i\)
\(13 - 22i\)
\(13 + 34i\)
Match the equivalent expressions.
\(i^2(3+i)\)
\(\text-4i \boldcdot 5i\)
\(5i(4-3i)\)
\((1+2i)(\text-1+3i)\)
\((3+5i) - (10+4i)\)
\((2+4i)(2-4i)\)
\((1-4i) + (\text-4+3i)\)
\((\text-6 + 12i) - (\text-21 - 8i)\)
Write each expression in \(a+bi\) form.
Here is a method for solving the equation \(\sqrt{5+x}+10=6\). Does the method produce the correct solution to the equation? Explain how you know.
\(\begin{align} \sqrt{5+x}+10 &= 6 \\ \sqrt{5+x} &= \text-4 &\text{ (after subtracting 10 from each side)} \\ 5+x &= 16 &\text{ (after squaring both sides)} \\ x &= 11 \\ \end{align}\)
Write each expression in the form \(a+bi\), where \(a\) and \(b\) are real numbers.
