What is expand (x^2+1)/(x(x-1)^2) ?

The solution to expand (x^2+1)/(x(x-1)^2) is (x^2+1)/(x^3-2x^2+x)

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expand (x^2+1)/(x(x-1)^2)

expand

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

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

Solution steps

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

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

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

Expand

x (x^{2} - 2 x + 1) : x^{3} - 2 x^{2} + x

= \frac{x ^{2} + 1}{x ^{3} - 2 x ^{2} + x}

\frac{( y + 5 ) ( y - 5 )}{y ^{2} + 5}

\frac{a ( 19 a ^{2} + 7 - 10 a )}{216}

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

x (x - y = 1)

(a + 8) (a^{^{'}} + 3)

What is expand (x^2+1)/(x(x-1)^2) ?
The solution to expand (x^2+1)/(x(x-1)^2) is (x^2+1)/(x^3-2x^2+x)