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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Cancel

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

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

0.8 \cdot sin (0.628 \cdot (x - 2.4))

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

(\frac{1}{( 3 + h ) ^{2}}) - (\frac{1}{9})

\frac{( 2 sin ( 2 ) t )}{s ^{2} ( s ^{2} + 1 )}

\frac{d}{d x} ((f (x)) (12 x^{5} - 4 x + 3))

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