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Popular >

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

Solution

simplify

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

Solution

15 i

Solution steps

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

Apply complex arithmetic rule:

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

= (2 (- 3) - (- 1) \cdot 6) + (2 \cdot 6 - 1 \cdot (- 3)) i

Simplify

(2 (- 3) - (- 1) \cdot 6) + (2 \cdot 6 - 1 \cdot (- 3)) i : 15 i

= 15 i

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Frequently Asked Questions (FAQ)

What is (2-i)(-3+6i) ?
The solution to (2-i)(-3+6i) is 15i