3(x-iy)-2i(x+iy)
You asked:
Evaluate the expression: \(3 \cdot \left(x - i y\right) - 2 \cdot i \cdot \left(x + i y\right)\)
MathBot Answer:
Evaluated
\(\displaystyle 3 \cdot \left(x - i y\right) - 2 \cdot i \cdot \left(x + i y\right) = 3 x - 3 y i - 2 i \left(x + y i\right) \)
Expanded
\[3 \cdot \left(x - i y\right) - 2 \cdot i \cdot \left(x + i y\right) = 3 x - 2 x i + 2 y - 3 y i\]
Factored
\[3 \cdot \left(x - i y\right) - 2 \cdot i \cdot \left(x + i y\right) = x \left(3 - 2 i\right) + y \left(2 - 3 i\right)\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).