Question

given the expression (7-4i)-(2+6i), perform the indicated operation and write the answer in the form a+bi

Answer 1

`5-10i`

Explanation:

we know that

To subtract two complex number, subtract the real parts and subtract the imaginary parts

so

`(a+bi)-(c+di)=(a-c)+(b-d)i`

we have

`(7-4i)-(2+6i)`

so

`(7-4i)-(2+6i)=(7-2)+(-4-6)i=5-10i`