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 \cdot 1 + x 2 + 1 \cdot x + 1 \cdot 1 + 1 \cdot 2 - 2 x - 2 \cdot 1 - 22

Simplify

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

= x^{2} + 2 x - 1

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

\frac{a ^{4} - 3 b ^{2} + 1}{( a ^{2} + b - 1 ) ( a ^{2} - b - 1 )}

(2 a + c - d) y (2 a + c - e + 3)

\frac{15}{x ( x + 4 )}

(\frac{a}{x - 2} + \frac{b}{x + 2}) (x - 2) (x + 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