What is (2*3-i)(3/5-2i) ?

The solution to (2*3-i)(3/5-2i) is 8/5-63/5 i

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simplify (2*3-i)(3/5-2i)

simplify

(2 \cdot 3 - i) (\frac{3}{5} - 2 i)

\frac{8}{5} - \frac{63}{5} i

Solution steps

(2 \cdot 3 - i) (\frac{3}{5} - 2 i)

Apply complex arithmetic rule:

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

= (2 \cdot 3 \cdot \frac{3}{5} - (- 1) (- 2)) + (2 \cdot 3 (- 2) - 1 \cdot \frac{3}{5}) i

Simplify

(2 \cdot 3 \cdot \frac{3}{5} - (- 1) (- 2)) + (2 \cdot 3 (- 2) - 1 \cdot \frac{3}{5}) i : \frac{8}{5} - \frac{63}{5} i

= \frac{8}{5} - \frac{63}{5} i

\frac{82}{100}

\frac{x ^{a - 1}}{x ^{a}}

\frac{5}{r + 3} + \frac{2 r}{3 r + 12}

∣ - 23 ∣

\frac{12 k ^{7}}{( 4 k ) ^{4}}