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Popular >

simplify (2+3i)(-2+6i)

Solution

simplify

(2 + 3 i) (- 2 + 6 i)

Solution

- 22 + 6 i

Solution steps

(2 + 3 i) (- 2 + 6 i)

Apply complex arithmetic rule:

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

= (2 (- 2) - 3 \cdot 6) + (2 \cdot 6 + 3 (- 2)) i

Simplify

(2 (- 2) - 3 \cdot 6) + (2 \cdot 6 + 3 (- 2)) i : - 22 + 6 i

= - 22 + 6 i

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Frequently Asked Questions (FAQ)

What is (2+3i)(-2+6i) ?
The solution to (2+3i)(-2+6i) is -22+6i