The expression 2

The expression (3+i)(1+2i) can be written in the form a+bi, where a and b are integers. What are the values of a and b?

Correct answer:

a =  1
b =  7

Step-by-step explanation:

z=(3+i)(1+2i) z = 3 ⋅  1 + 3 ⋅  2i + i ⋅  1 + i ⋅  2i z = 3+6i+i+2i2 = 3+6i+i−2 = 3 − 2 +i(6 + 1) = 1+7i z=a+i⋅ b a=1
b=7

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