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

The solution to expand (3x^2+5)/(2(x-1)^2) is (3x^2+5)/(2x^2-4x+2)

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

expand

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

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

Solution steps

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

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

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

Expand

2 (x^{2} - 2 x + 1) : 2 x^{2} - 4 x + 2

= \frac{3 x ^{2} + 5}{2 x ^{2} - 4 x + 2}

\frac{1}{2 ( cosh ( x ) + cos ( x ) )}

(3 - 11 - x) (6 - x + 2)

(e^{- t} + 2 e^{2 t}) (- 2 e^{- t} - 8 e^{- 2 t})

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

sin (4 (t - u))

What is expand (3x^2+5)/(2(x-1)^2) ?
The solution to expand (3x^2+5)/(2(x-1)^2) is (3x^2+5)/(2x^2-4x+2)