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Popular >

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

Solution

simplify

(1 + 3 i) (1 + i)

Solution

- 2 + 4 i

Solution steps

(1 + 3 i) (1 + i)

Apply complex arithmetic rule:

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

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

Simplify

(1 \cdot 1 - 3 \cdot 1) + (1 \cdot 1 + 3 \cdot 1) i : - 2 + 4 i

= - 2 + 4 i

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Frequently Asked Questions (FAQ)

What is (1+3i)(1+i) ?
The solution to (1+3i)(1+i) is -2+4i