What is 1/3 (x-sqrt(2))(x+sqrt(2)) ?

The solution to 1/3 (x-sqrt(2))(x+sqrt(2)) is (x^2)/3-2/3

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simplify 1/3 (x-sqrt(2))(x+sqrt(2))

simplify

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

\frac{x ^{2}}{3} - \frac{2}{3}

Solution steps

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

Apply Difference of Two Squares

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

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

Expand

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

= \frac{x ^{2}}{3} - \frac{2}{3}

(3 x^{2} y + 2 x y + y^{3}) + (x^{2} + y^{2}) y^{'} (x)

\frac{d ^{2}}{d t ^{2}} ((x) (cos (2 t) + sin (2 t) + \frac{1}{5} e^{t}))

- 3 (x - \frac{π}{3})

\frac{\partial}{\partial x} ((z) (x y - 2 x + 5 y))

(2 x - y) (3 x + 5 y)

What is 1/3 (x-sqrt(2))(x+sqrt(2)) ?
The solution to 1/3 (x-sqrt(2))(x+sqrt(2)) is (x^2)/3-2/3