What is expand-(y(x+3y))/(x^2) ?

The solution to expand-(y(x+3y))/(x^2) is -y/x-(3y^2)/(x^2)

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expand-(y(x+3y))/(x^2)

expand

- \frac{y ( x + 3 y )}{x ^{2}}

- \frac{y}{x} - \frac{3 y ^{2}}{x ^{2}}

Solution steps

- \frac{y ( x + 3 y )}{x ^{2}}

Expand

y (x + 3 y) : y x + 3 y^{2}

= - \frac{3 y ^{2} + y x}{x ^{2}}

Apply the fraction rule:

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

\frac{y x + 3 y ^{2}}{x ^{2}} = - (\frac{y x}{x ^{2}}) - (\frac{3 y ^{2}}{x ^{2}})

= - (\frac{y x}{x ^{2}}) - (\frac{3 y ^{2}}{x ^{2}})

Remove parentheses:

(a) = a

= - \frac{y x}{x ^{2}} - \frac{3 y ^{2}}{x ^{2}}

Cancel

\frac{y x}{x ^{2}} : \frac{y}{x}

= - \frac{y}{x} - \frac{3 y ^{2}}{x ^{2}}

\frac{1}{( n + 1 ) ln ( n + 1 )}

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

(2 + e^{x})^{2}

z (w (z, u) = 2 z - 3 u)

\frac{8}{( x ^{2} + 4 ) ( 5 x + 3 )}

What is expand-(y(x+3y))/(x^2) ?
The solution to expand-(y(x+3y))/(x^2) is -y/x-(3y^2)/(x^2)