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Popular >

simplify (3+2i)(5-4i)

Solution

simplify

(3 + 2 i) (5 - 4 i)

Solution

23 - 2 i

Solution steps

(3 + 2 i) (5 - 4 i)

Apply complex arithmetic rule:

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

= (3 \cdot 5 - 2 (- 4)) + (3 (- 4) + 2 \cdot 5) i

Simplify

(3 \cdot 5 - 2 (- 4)) + (3 (- 4) + 2 \cdot 5) i : 23 - 2 i

= 23 - 2 i

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Frequently Asked Questions (FAQ)

What is (3+2i)(5-4i) ?
The solution to (3+2i)(5-4i) is 23-2i