What is expand (d^2)/(d^2x)(x^2+y^2=a^2) ?

The solution to expand (d^2)/(d^2x)(x^2+y^2=a^2) is x+(y^2)/x =a^2

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expand (d^2)/(d^2x)(x^2+y^2=a^2)

expand

\frac{d ^{2}}{d ^{2} x} (x^{2} + y^{2} = a^{2})

x + \frac{y ^{2}}{x} = a^{2}

Solution steps

\frac{d ^{2}}{d ^{2} x} (x^{2} + y^{2} = a^{2})

= \frac{d ^{2}}{d ^{2} x} (x^{2} + = a^{2} y^{2})

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{d ^{2}}{d ^{2} x}, b = x^{2}, c = y^{2} = a^{2}

\frac{d ^{2}}{d ^{2} x} x^{2} + \frac{d ^{2}}{d ^{2} x} y^{2} = a^{2}

Expand

\frac{d ^{2}}{d ^{2} x} x^{2} + \frac{d ^{2}}{d ^{2} x} y^{2} : x + \frac{y ^{2}}{x}

x + \frac{y ^{2}}{x} = a^{2}

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a^{\frac{1}{3}} \cdot (a^{\frac{2}{3}} - a^{\frac{5}{3}})

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What is expand (d^2)/(d^2x)(x^2+y^2=a^2) ?
The solution to expand (d^2)/(d^2x)(x^2+y^2=a^2) is x+(y^2)/x =a^2