What is (2(4)-i)(4/5-2i) ?

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

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

simplify

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

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

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

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

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

(x^{2} - 6) (x^{2} - 4)

4 x + 24

y^{- 4} (y^{2})^{2}

\frac{\frac{3 - x}{3 x}}{x - 3}

(x - c)^{2}