What is expand (x^2-3x-18)(x-4-2i)(x-4+2i) ?

The solution to expand (x^2-3x-18)(x-4-2i)(x-4+2i) is x^4-11x^3+26x^2+84x-360

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expand (x^2-3x-18)(x-4-2i)(x-4+2i)

expand

(x^{2} - 3 x - 18) (x - 4 - 2 i) (x - 4 + 2 i)

x^{4} - 11 x^{3} + 26 x^{2} + 84 x - 360

Solution steps

(x^{2} - 3 x - 18) (x - 4 - 2 i) (x - 4 + 2 i)

Expand

(x^{2} - 3 x - 18) (x - 4 - 2 i) : 36 i + x^{3} - 7 x^{2} - 2 x^{2} i - 6 x + 6 x i + 72

= (36 i + x^{3} - 7 x^{2} - 2 x^{2} i - 6 x + 6 x i + 72) (x - 4 + 2 i)

Distribute parentheses

= 36 i x + 36 i (- 4) + 36 i 2 i + x^{3} x + x^{3} (- 4) + x^{3} \cdot 2 i - 7 x^{2} x - 7 x^{2} (- 4) - 7 x^{2} \cdot 2 i - 2 x^{2} i x - 2 x^{2} i (- 4) - 2 x^{2} i 2 i - 6 xx - 6 x (- 4) - 6 x \cdot 2 i + 6 x i x + 6 x i (- 4) + 6 x i 2 i + 72 x + 72 (- 4) + 72 \cdot 2 i

Simplify

36 i x + 36 i (- 4) + 36 i 2 i + x^{3} x + x^{3} (- 4) + x^{3} \cdot 2 i - 7 x^{2} x - 7 x^{2} (- 4) - 7 x^{2} \cdot 2 i - 2 x^{2} i x - 2 x^{2} i (- 4) - 2 x^{2} i 2 i - 6 xx - 6 x (- 4) - 6 x \cdot 2 i + 6 x i x + 6 x i (- 4) + 6 x i 2 i + 72 x + 72 (- 4) + 72 \cdot 2 i : x^{4} - 11 x^{3} + 26 x^{2} + 84 x - 360

= x^{4} - 11 x^{3} + 26 x^{2} + 84 x - 360

(- 16, - 8) y (11, 19)

\frac{L ^{2} x ^{2} - 3 L x ^{3} + 2 x ^{4}}{L ^{3}}

\frac{( a - b ) ^{2}}{( a + b )}

\frac{2}{9 + 4 x}

What is expand (x^2-3x-18)(x-4-2i)(x-4+2i) ?
The solution to expand (x^2-3x-18)(x-4-2i)(x-4+2i) is x^4-11x^3+26x^2+84x-360