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

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

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

simplify

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

2 x^{2} - 2

Solution steps

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

Apply Difference of Two Squares

(x + 2 - x^{2}) (x - 2 - x^{2}) : 2 x^{2} - 2

= 2 x^{2} - 2

(x + Δ x)^{6}

(6 cos (t sin (t)) + 10) \cdot (sin (t) + t cos (t))

x \cdot (x - \frac{1}{2}) \cdot (x - 1)

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

(2 - 1) (25 + 3)

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