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Popular >

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

Solution

simplify

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

Solution

12 + 5 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

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

= 12 + 5 i

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Frequently Asked Questions (FAQ)

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