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

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

Solution steps

(2 \cdot 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

(4 a b^{2} c)^{3}

\frac{y - x}{x ^{2} - y ^{2}}

∣ 3 - 7 ∣

50 x^{2} y - 32 y^{3}

∣ 2 - 3 i ∣