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Popular >

simplify (3+2i)(2-3i)

Solution

simplify

(3 + 2 i) (2 - 3 i)

Solution

12 - 5 i

Solution steps

(3 + 2 i) (2 - 3 i)

Apply complex arithmetic rule:

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

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

Simplify

(3 \cdot 2 - 2 (- 3)) + (3 (- 3) + 2 \cdot 2) i : 12 - 5 i

= 12 - 5 i

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Frequently Asked Questions (FAQ)

What is (3+2i)(2-3i) ?
The solution to (3+2i)(2-3i) is 12-5i