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Popular >

simplify (4+i)(-2-i)

Solution

simplify

(4 + i) (- 2 - i)

Solution

- 7 - 6 i

Solution steps

(4 + i) (- 2 - i)

Apply complex arithmetic rule:

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

= (4 (- 2) - 1 \cdot (- 1)) + (4 (- 1) + 1 \cdot (- 2)) i

Simplify

(4 (- 2) - 1 \cdot (- 1)) + (4 (- 1) + 1 \cdot (- 2)) i : - 7 - 6 i

= - 7 - 6 i

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Frequently Asked Questions (FAQ)

What is (4+i)(-2-i) ?
The solution to (4+i)(-2-i) is -7-6i