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Popular >

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

Solution

simplify

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

Solution

2 + 23 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

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

= 2 + 23 i

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Frequently Asked Questions (FAQ)

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