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Popular >

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

Solution

simplify

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

Solution

- 1 + 18 i

Solution steps

(3 - 4 i) (- 3 + 2 i)

Apply complex arithmetic rule:

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

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

Simplify

(3 (- 3) - (- 4) \cdot 2) + (3 \cdot 2 - 4 (- 3)) i : - 1 + 18 i

= - 1 + 18 i

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Frequently Asked Questions (FAQ)

What is (3-4i)*(-3+2i) ?
The solution to (3-4i)*(-3+2i) is -1+18i