perform the opertations to find an eqivalent expession

Question

(8-2i)+(-2+4i)-(5+4i)

Answer 1

To find an equivalent expression for \((8-2i) + (-2+4i) - (5+4i)\), we can follow these steps:

1. Distribute the negative sign in front of the third term: \[ (8 - 2i) + (-2 + 4i) - 5 - 4i \]

2. Combine all the real parts and all the imaginary parts:

   • Real parts: \(8 - 2 - 5 = 1\)
   • Imaginary parts: \(-2i + 4i - 4i = -2i\)

Thus, combining these results gives: \[ 1 - 2i \]

The equivalent expression is: \[ \boxed{1 - 2i} \]