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

Simplify

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