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Popular >

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

Solution

simplify

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

Solution

23 + 2 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

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

= 23 + 2 i

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Frequently Asked Questions (FAQ)

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