What is expand (1-x+3x^2)/((1-4x+3x^2)(1-x)) ?

The solution to expand (1-x+3x^2)/((1-4x+3x^2)(1-x)) is (1-x+3x^2)/(1-5x+7x^2-3x^3)

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expand (1-x+3x^2)/((1-4x+3x^2)(1-x))

expand

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

\frac{1 - x + 3 x ^{2}}{1 - 5 x + 7 x ^{2} - 3 x ^{3}}

Solution steps

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

Expand

(1 - 4 x + 3 x^{2}) (1 - x) : 1 - 5 x + 7 x^{2} - 3 x^{3}

= \frac{1 - x + 3 x ^{2}}{1 - 5 x + 7 x ^{2} - 3 x ^{3}}

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

\frac{3}{4} cos (2) (x + \frac{π}{3})

\frac{( 9 y ^{6} - 1 ) ^{2}}{36 y ^{6}}

\frac{10}{( x + 1 ) ( x + 2 ) ( x ^{2} + 1 )}

(- 6 = 2) (- 4 + 10)

What is expand (1-x+3x^2)/((1-4x+3x^2)(1-x)) ?
The solution to expand (1-x+3x^2)/((1-4x+3x^2)(1-x)) is (1-x+3x^2)/(1-5x+7x^2-3x^3)