What is factor (x-1)^4-3x(x-2)-1 ?

The solution to factor (x-1)^4-3x(x-2)-1 is x(x-2)(x^2-2x-1)

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factor (x-1)^4-3x(x-2)-1

factor

(x - 1)^{4} - 3 x (x - 2) - 1

x (x - 2) (x^{2} - 2 x - 1)

Solution steps

(x - 1)^{4} - 3 x (x - 2) - 1

Expand

(x - 1)^{4} - 3 x (x - 2) - 1 : x^{4} - 4 x^{3} + 3 x^{2} + 2 x

= x^{4} - 4 x^{3} + 3 x^{2} + 2 x

Factor

x^{4} - 4 x^{3} + 3 x^{2} + 2 x : x (x - 2) (x^{2} - 2 x - 1)

= x (x - 2) (x^{2} - 2 x - 1)

π - (\frac{4 π}{5})

x - 7 x + \frac{49}{4}

[x + 3 y]

7 x^{2} + 78 - 7

A (3.1)

What is factor (x-1)^4-3x(x-2)-1 ?
The solution to factor (x-1)^4-3x(x-2)-1 is x(x-2)(x^2-2x-1)