What is (x-1)(x-2i)(x-3i) ?

The solution to (x-1)(x-2i)(x-3i) is (x-1)(x^2-6)-(x-1)*5xi

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simplify (x-1)(x-2i)(x-3i)

simplify

(x - 1) (x - 2 i) (x - 3 i)

(x - 1) (x^{2} - 6) - (x - 1) \cdot 5 x i

Solution steps

(x - 1) (x - 2 i) (x - 3 i)

Apply complex arithmetic rule:

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

= (x - 1) ((xx - (- 2) (- 3)) + (x (- 3) - 2 x) i)

Simplify

(xx - (- 2) (- 3)) + (x (- 3) - 2 x) i : (x^{2} - 6) - 5 x i

= (x - 1) ((x^{2} - 6) - 5 x i)

Distribute parentheses

= (x - 1) (x^{2} - 6) - (x - 1) \cdot 5 x i

(sin (x) - 1) (2 sin (x) - 1)

\frac{( y ^{2} - 1 ) ( 3 x ^{2} + 8 x )}{y}

- (\frac{5 s ^{2} - 2 s + 1}{s ( s + 3 ) ( s - 1 )})

x^{2} y^{''} (x) - x (x + 2) y^{'} (x) + (x + 2) y

sin (a) (tan (a) + csc (a))

What is (x-1)(x-2i)(x-3i) ?
The solution to (x-1)(x-2i)(x-3i) is (x-1)(x^2-6)-(x-1)*5xi