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Popular >

simplify (5-3i)(-8+5i)

Solution

simplify

(5 - 3 i) (- 8 + 5 i)

Solution

- 25 + 49 i

Solution steps

(5 - 3 i) (- 8 + 5 i)

Apply complex arithmetic rule:

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

= (5 (- 8) - (- 3) \cdot 5) + (5 \cdot 5 - 3 (- 8)) i

Simplify

(5 (- 8) - (- 3) \cdot 5) + (5 \cdot 5 - 3 (- 8)) i : - 25 + 49 i

= - 25 + 49 i

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Frequently Asked Questions (FAQ)

What is (5-3i)(-8+5i) ?
The solution to (5-3i)(-8+5i) is -25+49i