What is expand (3x^2-6x+5)/((x-1)^2) ?

The solution to expand (3x^2-6x+5)/((x-1)^2) is (3x^2-6x+5)/(x^2-2x+1)

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expand (3x^2-6x+5)/((x-1)^2)

expand

\frac{3 x ^{2} - 6 x + 5}{( x - 1 ) ^{2}}

\frac{3 x ^{2} - 6 x + 5}{x ^{2} - 2 x + 1}

Solution steps

\frac{3 x ^{2} - 6 x + 5}{( x - 1 ) ^{2}}

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

= \frac{3 x ^{2} - 6 x + 5}{x ^{2} - 2 x + 1}

(- 3 + 5)^{4}

\frac{( x - 2 ) ( x - 3 )}{6}

(x + 1) (x^{2} + \frac{1}{5})

\frac{3}{4} - \frac{2}{5} + \frac{3}{7}

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

What is expand (3x^2-6x+5)/((x-1)^2) ?
The solution to expand (3x^2-6x+5)/((x-1)^2) is (3x^2-6x+5)/(x^2-2x+1)