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

The solution to expand sqrt(1+x^2)(dy)/(dx)-x(2+y) is sqrt(1+x^2)(dy)/(dx)-2x-xy

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expand sqrt(1+x^2)(dy)/(dx)-x(2+y)

expand

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

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

Solution steps

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

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

Expand

- x (2 + y) : - 2 x - x y

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

\frac{3}{x + 1} + \frac{7}{x - 4} - \frac{5}{x + 5}

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

(e^{2 x} - e^{- 3 x})^{3}

(9 \cdot e^{- 9 \cdot x} + 2)^{3}

π r^{2} (84 - 2 π r)

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