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Popular >

simplify (5+3i)(2+9i)

Solution

simplify

(5 + 3 i) (2 + 9 i)

Solution

- 17 + 51 i

Solution steps

(5 + 3 i) (2 + 9 i)

Apply complex arithmetic rule:

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

= (5 \cdot 2 - 3 \cdot 9) + (5 \cdot 9 + 3 \cdot 2) i

Simplify

(5 \cdot 2 - 3 \cdot 9) + (5 \cdot 9 + 3 \cdot 2) i : - 17 + 51 i

= - 17 + 51 i

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Frequently Asked Questions (FAQ)

What is (5+3i)(2+9i) ?
The solution to (5+3i)(2+9i) is -17+51i