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Popular >

simplify (3+i)(1+2i)

Solution

simplify

(3 + i) (1 + 2 i)

Solution

1 + 7 i

Solution steps

(3 + i) (1 + 2 i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (3 \cdot 1 - 1 \cdot 2) + (3 \cdot 2 + 1 \cdot 1) i

Simplify

(3 \cdot 1 - 1 \cdot 2) + (3 \cdot 2 + 1 \cdot 1) i : 1 + 7 i

= 1 + 7 i

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Frequently Asked Questions (FAQ)

What is (3+i)(1+2i) ?
The solution to (3+i)(1+2i) is 1+7i