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

\frac{x + 1}{x ^{3} - x}

x - 3 (x + 7)

\frac{7}{10} + (- \frac{3}{5})

z^{2} + 9 z + 18

2 (x - y)^{2}