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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(- 3 + i 3)^{14}

(\frac{4}{16} x + \frac{5}{16} y + \frac{3}{16} z + \frac{4}{16} q)^{4}

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

(- 2 x^{2} + 9 x)^{2}

\frac{( k + 1 ) ^{2} ( k + 2 ) ^{2}}{4} + (k + 1)

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