What is expand (x-1+6i)(x-1-6i)(x-1)(x-2)(2x-1) ?

The solution to expand (x-1+6i)(x-1-6i)(x-1)(x-2)(2x-1) is 2x^5-11x^4+95x^3-275x^2+263x-74

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expand (x-1+6i)(x-1-6i)(x-1)(x-2)(2x-1)

expand

(x - 1 + 6 i) (x - 1 - 6 i) (x - 1) (x - 2) (2 x - 1)

2 x^{5} - 11 x^{4} + 95 x^{3} - 275 x^{2} + 263 x - 74

Solution steps

(x - 1 + 6 i) (x - 1 - 6 i) (x - 1) (x - 2) (2 x - 1)

Expand

(x - 1 + 6 i) (x - 1 - 6 i) (x - 1) (x - 2) (2 x - 1) : (x - 1 + 6 i) (x - 1 - 6 i) (x^{2} - 3 x + 2) (2 x - 1)

= (x - 1 + 6 i) (x - 1 - 6 i) (x^{2} - 3 x + 2) (2 x - 1)

Expand

(x - 1 + 6 i) (x - 1 - 6 i) : x^{2} - 2 x + 37

= (x^{2} - 2 x + 37) (x^{2} - 3 x + 2) (2 x - 1)

Expand

(x^{2} - 2 x + 37) (x^{2} - 3 x + 2) : x^{4} - 5 x^{3} + 45 x^{2} - 115 x + 74

= (x^{4} - 5 x^{3} + 45 x^{2} - 115 x + 74) (2 x - 1)

Distribute parentheses

= x^{4} \cdot 2 x + x^{4} (- 1) - 5 x^{3} \cdot 2 x - 5 x^{3} (- 1) + 45 x^{2} \cdot 2 x + 45 x^{2} (- 1) - 115 x \cdot 2 x - 115 x (- 1) + 74 \cdot 2 x + 74 (- 1)

Simplify

x^{4} \cdot 2 x + x^{4} (- 1) - 5 x^{3} \cdot 2 x - 5 x^{3} (- 1) + 45 x^{2} \cdot 2 x + 45 x^{2} (- 1) - 115 x \cdot 2 x - 115 x (- 1) + 74 \cdot 2 x + 74 (- 1) : 2 x^{5} - 11 x^{4} + 95 x^{3} - 275 x^{2} + 263 x - 74

= 2 x^{5} - 11 x^{4} + 95 x^{3} - 275 x^{2} + 263 x - 74

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

x (θ - sin (θ))

(x - 14) (x - \frac{5}{2}) (x - \frac{9}{2})

\frac{( - z + 6 ) ^{3}}{54}

2 (2 + lo g_{2} (375))

What is expand (x-1+6i)(x-1-6i)(x-1)(x-2)(2x-1) ?
The solution to expand (x-1+6i)(x-1-6i)(x-1)(x-2)(2x-1) is 2x^5-11x^4+95x^3-275x^2+263x-74