3(7-3i)+i(2+2i)

asked by guest
on Sep 27, 2024 at 2:08 am



You asked:

Evaluate the expression: \(3 \cdot \left(7 - 3 i\right) + i \cdot \left(2 + 2 i\right)\)

MathBot Answer:

Evaluated



\(\displaystyle 3 \cdot \left(7 - 3 i\right) + i \cdot \left(2 + 2 i\right) = 21 - 9 i + i \left(2 + 2 i\right) \)

Expanded

\[3 \cdot \left(7 - 3 i\right) + i \cdot \left(2 + 2 i\right) = 19 - 7 i\]

Factored

\[3 \cdot \left(7 - 3 i\right) + i \cdot \left(2 + 2 i\right) = 19 - 7 i\]

\(i\) is the imaginary unit, defined as \(i^2 = -1\).

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