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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{d x}{d y}, b = y^{2}, c = 1

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

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

Multiply:

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

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

(c + Δ x)^{3}

e^{\frac{2}{x}} (x + 5)

\frac{3 ( x - 5 ) ^{2}}{4}

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

\frac{4}{( s + 1 ) ( s + 3 ) s}

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