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

The solution to (sqrt(xy)-x^2)(sqrt(xy)+x^2) is xy-x^4

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

simplify

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

x y - x^{4}

Solution steps

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

Apply Difference of Two Squares

(x y - x^{2}) (x y + x^{2}) : x y - x^{4}

= x y - x^{4}

\frac{1}{2} (arcsin (x) - \frac{1}{2} sin (2 arcsin (x)))

(x x - 1) (1 - x)

\frac{z}{( z + 2 ) ( z - 3 )}

(2 - x - 2) (2 + x - 2)

(x + \frac{2}{x})^{8}

What is (sqrt(xy)-x^2)(sqrt(xy)+x^2) ?
The solution to (sqrt(xy)-x^2)(sqrt(xy)+x^2) is xy-x^4