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Popular >

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

Solution

simplify

(2 + i) (- 3 - i)

Solution

- 5 - 5 i

Solution steps

(2 + i) (- 3 - i)

Apply complex arithmetic rule:

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

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

Simplify

(2 (- 3) - 1 \cdot (- 1)) + (2 (- 1) + 1 \cdot (- 3)) i : - 5 - 5 i

= - 5 - 5 i

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Frequently Asked Questions (FAQ)

What is (2+i)(-3-i) ?
The solution to (2+i)(-3-i) is -5-5i