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Popular >

simplify (3+4i)(6+2i)

Solution

simplify

(3 + 4 i) (6 + 2 i)

Solution

10 + 30 i

Solution steps

(3 + 4 i) (6 + 2 i)

Apply complex arithmetic rule:

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

= (3 \cdot 6 - 4 \cdot 2) + (3 \cdot 2 + 4 \cdot 6) i

Simplify

(3 \cdot 6 - 4 \cdot 2) + (3 \cdot 2 + 4 \cdot 6) i : 10 + 30 i

= 10 + 30 i

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Frequently Asked Questions (FAQ)

What is (3+4i)(6+2i) ?
The solution to (3+4i)(6+2i) is 10+30i