What is (2(2)-i)(2/5-2i) ?

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

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

simplify

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

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

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

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

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

2 \frac{2}{7}

840 + 160

\frac{w ^{5}}{w ^{2}}

4 m - (- 2 m - n)

5 m^{- 2} m^{- 7}