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

The solution to expand ((x-1)^2ln(x))/((x-1)^2+y^2) is (x^2ln(x)-2xln(x)+ln(x))/(x^2-2x+1+y^2)

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

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

(sec (x) - csc (x)) (cos (x) + sin (x))

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

(\frac{1}{y ^{2}} - \frac{3}{y ^{4}}) (y + 5 y^{3})

(2 x^{2} + x - 3)^{8}

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