Question

Which has the same value as (4 + 3i)²?

Answer 1

distribute

Answer 2

\[(4 + 3i)^2 = 4^2 + 2(4)(3i) + (3i)^2\]

Answer 3

does that mean i treat it as a variable??

Answer 4

Yes, you can treat it as a variable. Just keep in mind that \(i^2=-1\) and that's it.

Answer 5

im still confused

Answer 6

Do you know that \((x + y)^2 = x^2 + 2xy + y^2\)?

Answer 7

Yea

Answer 8

Where ever there is an i^2 sub it with a -1

Answer 9

Using that property would suffice.\[(4 + 3i)^2 = 4^2 + 2(4)(3i) + (3i)^2\]

Answer 10

@Luigi0210 is correct; though you want to simplify the expression I posted above.