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?

Step-by-step explanation:

Given the complex expression, (3 + i)(1+2i) we are to expand it in the form a+bi as shown;

(3 + i)(1+2i)

= 3(1)+3(2i)+1(i)+i(2i)

= 3 + 6i + i + 2i²

= 3 + 71 + 2i²

According to complex notation i² = -1

;Substitute

= 3+7i+2(-1)

= 3 + 7i - 2

= 1 + 7i

Comparing 1+7i with a + bi

a = 1 and b = 7

answer: 2530

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step-by-step explanation:

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