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

Simplify

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