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Popular >

simplify (8-i)(4/5-2i)

Solution

simplify

(8 - i) (\frac{4}{5} - 2 i)

Solution

\frac{22}{5} - \frac{84}{5} i

Solution steps

(8 - i) (\frac{4}{5} - 2 i)

Apply complex arithmetic rule:

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

= (8 \cdot \frac{4}{5} - (- 1) (- 2)) + (8 (- 2) - 1 \cdot \frac{4}{5}) i

Simplify

(8 \cdot \frac{4}{5} - (- 1) (- 2)) + (8 (- 2) - 1 \cdot \frac{4}{5}) i : \frac{22}{5} - \frac{84}{5} i

= \frac{22}{5} - \frac{84}{5} i

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Frequently Asked Questions (FAQ)

What is (8-i)(4/5-2i) ?
The solution to (8-i)(4/5-2i) is 22/5-84/5 i