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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

\frac{( t + 1 ) y}{t ^{2}}

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

3 (4 - 12 x) - 6 (2 x - 3 = 36 + 2 (3 x + 2))

\frac{4 ( x + h ) + 7}{7 ( x + h ) - 6}

z - (\frac{3}{5 + 3 i})

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