What is x(x-i)(x+9i)-8 ?

The solution to x(x-i)(x+9i)-8 is x((x^2+9)+8xi)-8

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simplify x(x-i)(x+9i)-8

simplify

x (x - i) (x + 9 i) - 8

x ((x^{2} + 9) + 8 x i) - 8

Solution steps

x (x - i) (x + 9 i) - 8

Apply complex arithmetic rule:

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

x (x - i) (x + 9 i) = x ((xx - (- 1) \cdot 9) + (x \cdot 9 - 1 \cdot x) i)

= x ((xx - (- 1) \cdot 9) + (x \cdot 9 - 1 \cdot x) i) - 8

Simplify

(xx - (- 1) \cdot 9) + (x \cdot 9 - 1 \cdot x) i : (x^{2} + 9) + 8 x i

= x ((x^{2} + 9) + 8 x i) - 8

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(x^{3} - \frac{2}{x})^{8}

\frac{( x + 2 ) ^{2}}{81}

\frac{2 s + 1}{s ( s + 1 ) ( s + 2 )}