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Popular >

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

Solution

simplify

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

Solution

- \frac{2}{5} - \frac{42}{5} i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(4 \cdot \frac{2}{5} - (- 1) (- 2)) + (4 (- 2) - 1 \cdot \frac{2}{5}) i : - \frac{2}{5} - \frac{42}{5} i

= - \frac{2}{5} - \frac{42}{5} i

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Frequently Asked Questions (FAQ)

What is (4-i)(2/5-2i) ?
The solution to (4-i)(2/5-2i) is -2/5-42/5 i