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 c + b d

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

5 (5 n - 2)

(z + 1)^{\frac{3}{2}} (z + 1)^{2}

(x^{2} + x^{4})^{3}

\frac{y - 4}{y ^{2} - 16}

2 x^{3} - x^{2} - 5 x - 2