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

The solution to expand ((ax+x)(ay+y))/(a^2) is xy+(2xy)/a+(xy)/(a^2)

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expand ((ax+x)(ay+y))/(a^2)

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Cancel

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

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

Cancel

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

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

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

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

(x^{2} + 7 x + 2) (e^{x} - ln (x))

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

\frac{x - 9}{x ( x - 3 )}

What is expand ((ax+x)(ay+y))/(a^2) ?
The solution to expand ((ax+x)(ay+y))/(a^2) is xy+(2xy)/a+(xy)/(a^2)