What is expand (1+x)y+((1-y)xdy)/(dx) ?

The solution to expand (1+x)y+((1-y)xdy)/(dx) is y+xy+(xdy)/(dx)-(xydy)/(dx)

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expand (1+x)y+((1-y)xdy)/(dx)

expand

(1 + x) y + \frac{( 1 - y ) x d y}{d x}

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

Solution steps

(1 + x) y + \frac{( 1 - y ) x d y}{d x}

= y (1 + x) + \frac{x ( 1 - y ) d y}{d x}

Expand

y (1 + x) : y + x y

= y + x y + \frac{( 1 - y ) x d y}{d x}

Simplify

y + x y + \frac{( 1 - y ) x d y}{d x} : y + x y + \frac{x d y}{d x} - \frac{x y d y}{d x}

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

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What is expand (1+x)y+((1-y)xdy)/(dx) ?
The solution to expand (1+x)y+((1-y)xdy)/(dx) is y+xy+(xdy)/(dx)-(xydy)/(dx)