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Popular >

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

Solution

simplify

(3 - i) (2 + 3 i)

Solution

9 + 7 i

Solution steps

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

Simplify

(3 \cdot 2 - (- 1) \cdot 3) + (3 \cdot 3 - 1 \cdot 2) i : 9 + 7 i

= 9 + 7 i

Popular Examples

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1 - 27 k^{3}

4 c + 5 < 4 c + 3

Frequently Asked Questions (FAQ)

What is (3-i)(2+3i) ?
The solution to (3-i)(2+3i) is 9+7i