What is expand-y-(((-x+C_{1})^2)/y) ?

The solution to expand-y-(((-x+C_{1})^2)/y) is -y-(x^2)/y+(2C_{1}x)/y-(C_{1}^2)/y

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expand-y-(((-x+C_{1})^2)/y)

expand

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

- y - \frac{x ^{2}}{y} + \frac{2 C _{1} x}{y} - \frac{C _{1}^{2}}{y}

Solution steps

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

Remove parentheses:

(a) = a

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

(- x + C_{1})^{2} = x^{2} - 2 C_{1} x + C_{1}^{2}

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

= - y - (\frac{x ^{2}}{y}) - (- \frac{2 C _{1} x}{y}) - (\frac{C _{1}^{2}}{y})

Remove parentheses:

(a) = a, - (- a) = a

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

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What is expand-y-(((-x+C_{1})^2)/y) ?
The solution to expand-y-(((-x+C_{1})^2)/y) is -y-(x^2)/y+(2C_{1}x)/y-(C_{1}^2)/y