What is expand (y^2-1)*(dy)/(dx) ?

The solution to expand (y^2-1)*(dy)/(dx) is (dy)/(dx)y^2-(dy)/(dx)

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expand (y^2-1)*(dy)/(dx)

expand

(y^{2} - 1) \cdot \frac{d y}{d x}

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

Solution steps

(y^{2} - 1) \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 = 1

= \frac{d y}{d x} y^{2} - \frac{d y}{d x} 1

= \frac{d y}{d x} y^{2} - 1 \frac{d y}{d x}

Multiply:

1 \frac{d y}{d x} = \frac{d y}{d x}

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

\frac{2 x ^{2} + 23}{x ( x + 4 )}

a (2, - 3)

(x^{2} + y) e^{\frac{y}{2}}

- 1 + (- 3)

\frac{6}{s ( 0.2 s + 1 )}

What is expand (y^2-1)*(dy)/(dx) ?
The solution to expand (y^2-1)*(dy)/(dx) is (dy)/(dx)y^2-(dy)/(dx)