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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

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

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

\frac{12 x ^{2} - 31 x + 4}{( x - 4 ) ( x ^{2} + 2 )}

(x + 4 - 1)^{2}

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

(- 5, - 6) zero

0 - 10

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