What is (x-1)(x-1+sqrt(2))(x-1-sqrt(2)) ?

The solution to (x-1)(x-1+sqrt(2))(x-1-sqrt(2)) is (x-1)(x^2-2x-1)

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simplify (x-1)(x-1+sqrt(2))(x-1-sqrt(2))

simplify

(x - 1) (x - 1 + 2) (x - 1 - 2)

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

Solution steps

(x - 1) (x - 1 + 2) (x - 1 - 2)

Distribute parentheses

= (x - 1) (xx + x (- 1) + x (- 2) - 1 \cdot x - 1 \cdot (- 1) - 1 \cdot (- 2) + 2 x + 2 (- 1) + 2 (- 2))

Simplify

xx + x (- 1) + x (- 2) - 1 \cdot x - 1 \cdot (- 1) - 1 \cdot (- 2) + 2 x + 2 (- 1) + 2 (- 2) : x^{2} - 2 x - 1

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

x (\frac{10 x}{15})

(0.64 \cdot x + 0.64 \cdot 0.5 \cdot x^{2} + 3.9)^{2}

(z - \frac{1}{3})^{4}

5 (6 + 7)

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

What is (x-1)(x-1+sqrt(2))(x-1-sqrt(2)) ?
The solution to (x-1)(x-1+sqrt(2))(x-1-sqrt(2)) is (x-1)(x^2-2x-1)