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The values a and b can be zero.
Examples
1+2i, or 2-6i
(5+3i) +(2+4i)
(5+2) + (3+4)i
7+7i
(7+2i)-(3i+3i)
(7+2i)+(-3i-3i)
(7-3)+(2-3)i
=5-i
(4-i) + (3 +2i)
Simplify
i2= -1 and use this to simplify the result.
Solution:
5i(2 + 3i) = 10i + 15i^2
= 10i + 15(-1)
=-15 + 10i
(9 –i)(2 + 5i)
= 18 + 45i –2i –5i^2
= 18 + 43i –5(-1)
=23 + 43i
Rewrite as i^22 = i^20∙ i^2= i^2= -1
i^100
Since 100 is a multiple of 4, i^100= 1.
Simplify
Simplify