(2i-3j)*(-4i)

asked by guest
on Jan 13, 2025 at 11:32 am



You asked:

Evaluate the expression: \(\left(2 i - 3 j\right) \cdot -\left( 4 i \right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left(2 i - 3 j\right) \cdot -\left( 4 i \right) = - 4 i \left(- 3 j + 2 i\right) \)


Expanded

\[\left(2 i - 3 j\right) \cdot -\left( 4 i \right) = 12 j i + 8\]


Factored

\[\left(2 i - 3 j\right) \cdot -\left( 4 i \right) = 4 i \left(3 j - 2 i\right)\]


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