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

Simplify

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