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Popular >

simplify (5+2i)(-5-i)

Solution

simplify

(5 + 2 i) (- 5 - i)

Solution

- 23 - 15 i

Solution steps

(5 + 2 i) (- 5 - i)

Apply complex arithmetic rule:

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

= (5 (- 5) - 2 (- 1)) + (5 (- 1) + 2 (- 5)) i

Simplify

(5 (- 5) - 2 (- 1)) + (5 (- 1) + 2 (- 5)) i : - 23 - 15 i

= - 23 - 15 i

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Frequently Asked Questions (FAQ)

What is (5+2i)(-5-i) ?
The solution to (5+2i)(-5-i) is -23-15i