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Popular >

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

Solution

simplify

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

Solution

- 43 + 19 i

Solution steps

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

Apply complex arithmetic rule:

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

= (8 (- 5) - 1 \cdot 3) + (8 \cdot 3 + 1 \cdot (- 5)) i

Simplify

(8 (- 5) - 1 \cdot 3) + (8 \cdot 3 + 1 \cdot (- 5)) i : - 43 + 19 i

= - 43 + 19 i

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Frequently Asked Questions (FAQ)

What is (8+i)(-5+3i) ?
The solution to (8+i)(-5+3i) is -43+19i