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) - 22

Simplify

xx + x (- 1) + x 2 - 1 \cdot x - 1 \cdot (- 1) - 1 \cdot 2 - 2 x - 2 (- 1) - 22 : x^{2} - 2 x - 1

= x^{2} - 2 x - 1

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

(5 y^{2} - 10 z^{2})^{2}

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

(1 + x)^{4}

- \frac{7 x - 15}{( x - 1 ) ^{2}}

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