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

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

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

simplify

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

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

Solution steps

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

Apply Difference of Two Squares

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

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

Apply exponent rule:

aa = a^{2}

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

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

(2 + 3)^{2} - (2 - 3)^{2}

\frac{x + 2}{x ( x + 4 )}

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

\frac{9 x ^{2} - 4 x + 5}{( 3 x + 1 ) ( 3 x - 1 ) ( 2 x - 3 )}

\frac{( x + y - 1 ) ^{2}}{4 x ^{2}}

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