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 + 2 (- 2)

Simplify

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

= x^{2} + 2 x - 1

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

(7, 3) y (1, - 5)

\frac{( x ^{2} - y ^{2} ) ( 2 x - 1 )}{2 x ^{2} - 2 x y - x - y}

\frac{x}{( x + 1 ) ( 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