What is (a-bi)(c-di) ?

The solution to (a-bi)(c-di) is (ac-bd)+(-ad-bc)i

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simplify (a-bi)(c-di)

simplify

(a - bi) (c - d i)

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

Solution steps

(a - bi) (c - d i)

Apply complex arithmetic rule:

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

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

Simplify

(a c - (- b) (- d)) + (a (- d) - b c) i : (a c - b d) + (- a d - b c) i

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

4 x^{3} \cdot 9 x

\frac{16 x ^{3} - 12 x y}{8 x ^{2} y}

- 36 + \frac{8}{5} - 7.14 - 3 π

3 \frac{2}{4}

10 \cdot \frac{1}{10}