Question

Imaginary numbers?

Answer 1

i, i+1, 3i-4, etc...

Answer 2

simplify each expression
(-1+2i)(3+10i)

(-1+3i)^2

(5-3i)(5+3i)

Answer 3

(-1+2i)(3+10i)
-3-10i+6i+20i^2
-3-4i+20i^2
-3-4i+20(-1)
-3-4i-20
-23-4i.

that is it

Answer 4

Okay what about the other two?

Answer 5

use a rule, (a-b)^2=a^2-2ab+b^2

(-1+3i)^2
(-1)^2+2(-1)(3i)+(3i)^2
1+2(-1)(3i)+(3i)^2
1-6i+(3i)^2
1-6i+9(i)^2
1-6i+9(-1)
1-6i-9
-8-6i

Answer 6

(5-3i)(5+3i)

use a rule (a-b)(a+b)=a^2-b^2

(5)^2-(3i)^2
25-9(-1)
25+9
36.