What is expand (y^2-x^2)(dy)/(dx) ?

The solution to expand (y^2-x^2)(dy)/(dx) is y^2(dy)/(dx)-x^2(dy)/(dx)

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expand (y^2-x^2)(dy)/(dx)

expand

(y^{2} - x^{2}) \frac{d y}{d x}

y^{2} \frac{d y}{d x} - x^{2} \frac{d y}{d x}

Solution steps

(y^{2} - x^{2}) \frac{d y}{d x}

Apply the distributive law:

a (b - c) = ab - a c

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

= \frac{d y}{d x} y^{2} - \frac{d y}{d x} x^{2}

= y^{2} \frac{d y}{d x} - x^{2} \frac{d y}{d x}

\frac{( - 9 x + 8 ) ( x - 8 )}{( - 9 x - 8 ) x}

6 (\frac{4 x ^{3}}{3} - 2 x^{2} + x)

\frac{( 4 x - 1 ) ^{2}}{16}

C (- 3, - 5)

(2 + x 5)^{2}

What is expand (y^2-x^2)(dy)/(dx) ?
The solution to expand (y^2-x^2)(dy)/(dx) is y^2(dy)/(dx)-x^2(dy)/(dx)