What is factor (x^2-4x-2)(x-2)^2+5 ?

The solution to factor (x^2-4x-2)(x-2)^2+5 is (x-1)(x-3)(x^2-4x-1)

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factor (x^2-4x-2)(x-2)^2+5

factor

(x^{2} - 4 x - 2) (x - 2)^{2} + 5

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

Solution steps

(x^{2} - 4 x - 2) (x - 2)^{2} + 5

Expand

(x^{2} - 4 x - 2) (x - 2)^{2} + 5 : x^{4} - 8 x^{3} + 18 x^{2} - 8 x - 3

= x^{4} - 8 x^{3} + 18 x^{2} - 8 x - 3

Factor

x^{4} - 8 x^{3} + 18 x^{2} - 8 x - 3 : (x - 1) (x - 3) (x^{2} - 4 x - 1)

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

[e^{x} y_{0}]

5 am + a y + 5 bm + b y

4 \frac{d}{d t} ((z (t))^{3})

25 - 2 \times 2

A X + BX + CX + A Y + B Y + C Y - A - B - C

What is factor (x^2-4x-2)(x-2)^2+5 ?
The solution to factor (x^2-4x-2)(x-2)^2+5 is (x-1)(x-3)(x^2-4x-1)