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Popular >

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

Solution

simplify

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

Solution

22 + 7 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(2 \cdot 5 - 3 (- 4)) + (2 (- 4) + 3 \cdot 5) i : 22 + 7 i

= 22 + 7 i

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Frequently Asked Questions (FAQ)

What is (2+3i)(5-4i) ?
The solution to (2+3i)(5-4i) is 22+7i