A-level Mathematics/MEI/FP1/Complex Numbers/basic operations solutions

1.
 * $$ 5j + 3j = (5+3)j = 8(j)= 8j $$

2.
 * $$ 7(3j) = (7)(3)(j) = 21(j) = 21j $$

3.
 * $$(9 + 2j)(1-j) + 3 - 2j = 9 -2j^2 -2j -9j + 3 -2j= 9 - 11j -(2)(-1) +3 -2j = 9 + 2 + 3 -11j - 2j = 14 -13j $$

4.
 * $$ (21 + 7j) \div 7 = 21 \div 7 + 7j \div 7 = 3 + j $$

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