What is expand a/((a-1)^2(s-2)) ?

The solution to expand a/((a-1)^2(s-2)) is a/(a^2s-2a^2-2as+4a+s-2)

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expand a/((a-1)^2(s-2))

expand

\frac{a}{( a - 1 ) ^{2} ( s - 2 )}

\frac{a}{a ^{2} s - 2 a ^{2} - 2 a s + 4 a + s - 2}

Solution steps

\frac{a}{( a - 1 ) ^{2} ( s - 2 )}

(a - 1)^{2} = a^{2} - 2 a + 1

= \frac{a}{( a ^{2} - 2 a + 1 ) ( s - 2 )}

Expand

(a^{2} - 2 a + 1) (s - 2) : a^{2} s - 2 a^{2} - 2 a s + 4 a + s - 2

= \frac{a}{a ^{2} s - 2 a ^{2} - 2 a s + 4 a + s - 2}

\frac{( x ^{2} - 2 x + 7 )}{x}

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

\frac{( x ^{2} + 7 x + 3 )}{( x ^{2} ( x + 3 ) )}

\frac{E}{s ( R + L s )}

g (t, x)^{^{''}} (t, x) - 6 (- 6 e^{- 3 x^{2}} x^{2} + e^{- 3 x^{2}})

What is expand a/((a-1)^2(s-2)) ?
The solution to expand a/((a-1)^2(s-2)) is a/(a^2s-2a^2-2as+4a+s-2)