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Popular >

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

Solution

simplify

(1 + i) (- 1 - i)

Solution

- 2 i

Solution steps

(1 + i) (- 1 - i)

Apply complex arithmetic rule:

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

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

Simplify

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

= - 2 i

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Frequently Asked Questions (FAQ)

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