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Popular >

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

Solution

simplify

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

Solution

- 7 + 22 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 : - 7 + 22 i

= - 7 + 22 i

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Frequently Asked Questions (FAQ)

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