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Popular >

simplify (6+5i)*(2-3i)

Solution

simplify

(6 + 5 i) \cdot (2 - 3 i)

Solution

27 - 8 i

Solution steps

(6 + 5 i) (2 - 3 i)

Apply complex arithmetic rule:

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

= (6 \cdot 2 - 5 (- 3)) + (6 (- 3) + 5 \cdot 2) i

Simplify

(6 \cdot 2 - 5 (- 3)) + (6 (- 3) + 5 \cdot 2) i : 27 - 8 i

= 27 - 8 i

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Frequently Asked Questions (FAQ)

What is (6+5i)*(2-3i) ?
The solution to (6+5i)*(2-3i) is 27-8i