What is expand (dy)/x (x^2+16y^2=25) ?

The solution to expand (dy)/x (x^2+16y^2=25) is xdy+(16y^2dy)/x =25

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expand (dy)/x (x^2+16y^2=25)

expand

\frac{d y}{x} (x^{2} + 16 y^{2} = 25)

x d y + \frac{16 y ^{2} d y}{x} = 25

Solution steps

\frac{d y}{x} (x^{2} + 16 y^{2} = 25)

= \frac{d y}{x} (x^{2} + 16 \cdot 25 = y^{2})

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{d y}{x}, b = x^{2}, c = 16 y^{2} = 25

\frac{d y}{x} x^{2} + \frac{d y}{x} \cdot 16 y^{2} = 25

\frac{d y}{x} x^{2} + 16 \cdot \frac{d y}{x} y^{2} = 25

Expand

\frac{d y}{x} x^{2} + 16 \cdot \frac{d y}{x} y^{2} : x d y + \frac{16 y ^{2} d y}{x}

x d y + \frac{16 y ^{2} d y}{x} = 25

(- 6 x - 7 y = 14) \cdot 3

\frac{( c b + d a ) ( c + d )}{ba}

- \frac{( x + 25 ) ^{2}}{49}

\frac{( 2 s + 15 ) s}{( 2 s + 5 ) ( s + 10 )}

What is expand (dy)/x (x^2+16y^2=25) ?
The solution to expand (dy)/x (x^2+16y^2=25) is xdy+(16y^2dy)/x =25