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Popular >

simplify (6+2i)(3+6i)

Solution

simplify

(6 + 2 i) (3 + 6 i)

Solution

6 + 42 i

Solution steps

(6 + 2 i) (3 + 6 i)

Apply complex arithmetic rule:

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

= (6 \cdot 3 - 2 \cdot 6) + (6 \cdot 6 + 2 \cdot 3) i

Simplify

(6 \cdot 3 - 2 \cdot 6) + (6 \cdot 6 + 2 \cdot 3) i : 6 + 42 i

= 6 + 42 i

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Frequently Asked Questions (FAQ)

What is (6+2i)(3+6i) ?
The solution to (6+2i)(3+6i) is 6+42i