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Popular >

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

Solution

simplify

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

Solution

- 14 + 8 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(3 (- 2) - 2 \cdot 4) + (3 \cdot 4 + 2 (- 2)) i : - 14 + 8 i

= - 14 + 8 i

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Frequently Asked Questions (FAQ)

What is (3+2i)(-2+4i) ?
The solution to (3+2i)(-2+4i) is -14+8i