Question

Evaluate the expression (4+2i)(-4+2i) and write the result in the form of a+bia= b=

Answer 1

The next expression

(4+2i)(-4+2i)

is a multiplication. Applying distributive property:

4*(-4) + 4*2i + 2i*(-4) + 2i*2i

-16 + 8i - 8i + 4i²

-16 + 4i²

Given that

i = √-1

then

i² = (√-1)² = -1

Replacing it in our expression:

-16 + 4*(-1)

-16 - 4

-20

Using the form a + bi, it is:

a = -20

b = 0