Question

Simplify 4 over the quantity of negative 2 minus 2i .

Answer 1

well multiply it by the conjugate pair to get a rational denominator

\[\frac{4}{2 - 2i} \times \frac{2 + 2i}{2 + 2i}\]

the denominator will be the difference of 2 squares and you will have to use the
identity

\[i^2 = -1\]

hope it helps

Answer 2

I think that should be:

\[\frac{4}{-2 - 2i} \times \frac{2 + 2i}{2 + 2i}\]

but the method is sound and it comes to the same thing since -2 and 2 are both 4 when squared.

Answer 3

well no, deffinetly not the same
\(4*(2+2i ) \neq 4*(-2+2i )\)

conjugate of -2-2i=-2+2i