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

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

Solution steps

(2 (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

36 x^{2} - a^{4} b^{2}

2 x y^{3} + 12 x^{4} y^{3}

\frac{17}{51}

\frac{1}{2} + \frac{3}{4} + 1

\frac{c ^{9}}{6 c ^{4}}