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Popular >

simplify (1+2i)*(3+4i)

Solution

simplify

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

Solution

- 5 + 10 i

Solution steps

(1 + 2 i) (3 + 4 i)

Apply complex arithmetic rule:

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

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

Simplify

(1 \cdot 3 - 2 \cdot 4) + (1 \cdot 4 + 2 \cdot 3) i : - 5 + 10 i

= - 5 + 10 i

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Frequently Asked Questions (FAQ)

What is (1+2i)*(3+4i) ?
The solution to (1+2i)*(3+4i) is -5+10i