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

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

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

simplify

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

x^{2} - 2 x - 1

Solution steps

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

Distribute parentheses

= 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^{2} - 2 x - 1

(y + 3)^{2}

(1 + \frac{x}{2})^{12}

(1 + cos (x)) sin (x)

\frac{( x - 1 ) ( x + 3 ) ( x - 5 )}{( x + 2 ) ^{2} ( x - 4 )}

(x + 52) (x - 52)

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