What is expand [(x+1)^2-2y]dx-(x^2-1)dy ?

The solution to expand [(x+1)^2-2y]dx-(x^2-1)dy is x^2dx+2xdx+dx-2ydx-x^2dy+dy

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expand [(x+1)^2-2y]dx-(x^2-1)dy

expand

[(x + 1)^{2} - 2 y] d x - (x^{2} - 1) d y

x^{2} d x + 2 x d x + d x - 2 y d x - x^{2} d y + d y

Solution steps

[(x + 1)^{2} - 2 y] d x - (x^{2} - 1) d y

Expand

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

= [(x + 1)^{2} - 2 y] d x - x^{2} d y + d y

Simplify

[(x + 1)^{2} - 2 y] d x - x^{2} d y + d y : x^{2} d x + 2 x d x + d x - 2 y d x - x^{2} d y + d y

= x^{2} d x + 2 x d x + d x - 2 y d x - x^{2} d y + d y

(5 f + 3 e)^{2}

\frac{( 1 + x ^{n} )}{( 1 + x ) ^{n}}

\frac{1}{( x - 3 ) ( x - 2 ) ( x - 1 )}

\frac{1 + 2 x}{3 ( x - 3 )}

f oco (0, - 2)

What is expand [(x+1)^2-2y]dx-(x^2-1)dy ?
The solution to expand [(x+1)^2-2y]dx-(x^2-1)dy is x^2dx+2xdx+dx-2ydx-x^2dy+dy