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

The solution to (2a-i)(a/5-2i) is ((2a^2)/5-2)-(21a)/5 i

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

simplify

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

(\frac{2 a ^{2}}{5} - 2) - \frac{21 a}{5} i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(2 a \frac{a}{5} - (- 1) (- 2)) + (2 a (- 2) - 1 \cdot \frac{a}{5}) i : (\frac{2 a ^{2}}{5} - 2) - \frac{21 a}{5} i

= (\frac{2 a ^{2}}{5} - 2) - \frac{21 a}{5} i

e^{(1 + l n (x))}

- 3 x - 2 + x - 6

\frac{9}{8} \cdot \frac{7}{8}

(- 9 x^{3} y) (- 2 x^{6} y^{4})

What is (2a-i)(a/5-2i) ?
The solution to (2a-i)(a/5-2i) is ((2a^2)/5-2)-(21a)/5 i