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Popular >

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

Solution

simplify

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

Solution

3 - 4 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

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

= 3 - 4 i

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Frequently Asked Questions (FAQ)

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