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Complex Numbers


Problems

Problem : If x = 3 + 2i , y = 2 - 5i , and z = - 1 + i , evaluate:
a) x + y
b) x + z
c) z - y
d) 4y
e) 2x + 3z
f) 2y - 5x


Problem : If m = 4 + 2i and n = 5 - 7i , evaluate:
a) m + n
b) m - n
c) n - m
d) 2m + 5n
e) m - 3n
f) -3m - 2n


Problem : If p = 3 + 4i and q = 9 - 2i , evaluate:
a) p + q
b) p + 2q
c) 3p - q
d) 7q + 4p
e) -2p - 3p
f) 5p - 4q


Problem : Evaluate (3 + 4i)(5 + 7i) .


Problem : Evaluate (2 - 2i)(3 + 5i) .


Problem : Evaluate (5 + 2i)2 .


Problem : Evaluate (6 + 2i)(6 - 2i) .