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Popular >

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

Solution

simplify

(9 - 2 i) (3 + i)

Solution

29 + 3 i

Solution steps

(9 - 2 i) (3 + i)

Apply complex arithmetic rule:

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

= (9 \cdot 3 - (- 2) \cdot 1) + (9 \cdot 1 - 2 \cdot 3) i

Simplify

(9 \cdot 3 - (- 2) \cdot 1) + (9 \cdot 1 - 2 \cdot 3) i : 29 + 3 i

= 29 + 3 i

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Frequently Asked Questions (FAQ)

What is (9-2i)(3+i) ?
The solution to (9-2i)(3+i) is 29+3i