What is expand (-4x+6)/((x-2)^2(x-1)^2) ?

The solution to expand (-4x+6)/((x-2)^2(x-1)^2) is (-4x+6)/(x^4-6x^3+13x^2-12x+4)

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expand (-4x+6)/((x-2)^2(x-1)^2)

expand

\frac{- 4 x + 6}{( x - 2 ) ^{2} ( x - 1 ) ^{2}}

\frac{- 4 x + 6}{x ^{4} - 6 x ^{3} + 13 x ^{2} - 12 x + 4}

Solution steps

\frac{- 4 x + 6}{( x - 2 ) ^{2} ( x - 1 ) ^{2}}

(x - 2)^{2} = x^{2} - 4 x + 4

= \frac{- 4 x + 6}{( x ^{2} - 4 x + 4 ) ( x - 1 ) ^{2}}

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

= \frac{- 4 x + 6}{( x ^{2} - 4 x + 4 ) ( x ^{2} - 2 x + 1 )}

Expand

(x^{2} - 4 x + 4) (x^{2} - 2 x + 1) : x^{4} - 6 x^{3} + 13 x^{2} - 12 x + 4

= \frac{- 4 x + 6}{x ^{4} - 6 x ^{3} + 13 x ^{2} - 12 x + 4}

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

2 (e^{- 0.4 t} - e^{- 0.6 t})

2 (ln (- 1) + 1)

(5 + 11 x) x^{4} e^{11 x} + 3

(3, 1) y (4, - 11)

What is expand (-4x+6)/((x-2)^2(x-1)^2) ?
The solution to expand (-4x+6)/((x-2)^2(x-1)^2) is (-4x+6)/(x^4-6x^3+13x^2-12x+4)