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simplify (1+2i)(-8-i)

Solution

simplify

(1 + 2 i) (- 8 - i)

Solution

- 6 - 17 i

Solution steps

(1 + 2 i) (- 8 - i)

Apply complex arithmetic rule:

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

= (1 \cdot (- 8) - 2 (- 1)) + (1 \cdot (- 1) + 2 (- 8)) i

Simplify

(1 \cdot (- 8) - 2 (- 1)) + (1 \cdot (- 1) + 2 (- 8)) i : - 6 - 17 i

= - 6 - 17 i

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Frequently Asked Questions (FAQ)

What is (1+2i)(-8-i) ?
The solution to (1+2i)(-8-i) is -6-17i