SOLUTION: 1. (3+2i)squared(3-2i)squared
(3+2i)(3+2i)(3-2i)(3-2i)
9+6i+6i+4isquared 9-6i-6i+4isquared
9+12i+4(-1) 9-12i+4(-1)
(5+12i)(5-12i)
Algebra.Com
Question 133210: 1. (3+2i)squared(3-2i)squared
(3+2i)(3+2i)(3-2i)(3-2i)
9+6i+6i+4isquared 9-6i-6i+4isquared
9+12i+4(-1) 9-12i+4(-1)
(5+12i)(5-12i)
=169
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You are absolutely correct. There was, however, a slightly more elegant and certainly simpler way to do this one.
First, re-arrange the factors:
Now you have two sets of conjugates to multiply:
, so:
Like my Daddy always used to say, "There's more'n one way to skin a cat." Keep an eye out for these sorts of things. They will save you lots of time and frustration, particularly at test time.
RELATED QUESTIONS
(-4-6i)-(3+2i) (answered by i-am-007)
i need to know these answers ASAP please is for a math thing i have to pass it
|2i|
|5 (answered by orca)
(3+6i)^2 /... (answered by Fombitz)
(2-4i)(-6+4i)
(-3+2i)(-6-8i)
(8-6i)(-4-4i)
(1-7i)squared
6(-7+6i)(-4+2i) (answered by Alan3354)
1. (-2-2)(-4-3i)(7+8i)
2. 5i+7i*i
3. (6i)^3
4. 6i*-4i+8
5. -6(4-6i)
6. (8-3i)^2
7.... (answered by harpazo)
(-4+2i) -... (answered by ewatrrr)
Simplify.
(9+2i) /... (answered by Fombitz)
simplify... (answered by CubeyThePenguin)
Use a graph to demonstrate the operation of these complex numbers:
1) (7-6i)+(-5-2i)
(answered by stanbon)