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

The solution to expand ((2-x)\times (-x+3))/((x^2+x+1)(x-5)) is (-5x+x^2+6)/(x^3-4x^2-4x-5)

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

expand

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

\frac{- 5 x + x ^{2} + 6}{x ^{3} - 4 x ^{2} - 4 x - 5}

Solution steps

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

Expand

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

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

Expand

(2 - x) (- x + 3) : - 5 x + x^{2} + 6

= \frac{- 5 x + x ^{2} + 6}{x ^{3} - 4 x ^{2} - 4 x - 5}

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

(2 t + 1) e^{t}

(x + i) (x - i)

\frac{2 ( 8 - 19 )}{3}

f (s) = \frac{6}{( s ^{2} - 4 s + 4 ) ( s - 2 ) ^{4}}

What is expand ((2-x)\times (-x+3))/((x^2+x+1)(x-5)) ?
The solution to expand ((2-x)\times (-x+3))/((x^2+x+1)(x-5)) is (-5x+x^2+6)/(x^3-4x^2-4x-5)