What is expand ((x^2-2x+17))/((4-x)(1+x)^2) ?

The solution to expand ((x^2-2x+17))/((4-x)(1+x)^2) is (x^2-2x+17)/(-x^3+2x^2+7x+4)

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expand ((x^2-2x+17))/((4-x)(1+x)^2)

expand

\frac{( x ^{2} - 2 x + 17 )}{( 4 - x ) ( 1 + x ) ^{2}}

\frac{x ^{2} - 2 x + 17}{- x ^{3} + 2 x ^{2} + 7 x + 4}

Solution steps

\frac{x ^{2} - 2 x + 17}{( 4 - x ) ( 1 + x ) ^{2}}

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

= \frac{x ^{2} - 2 x + 17}{( - x + 4 ) ( x ^{2} + 2 x + 1 )}

Expand

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

= \frac{x ^{2} - 2 x + 17}{- x ^{3} + 2 x ^{2} + 7 x + 4}

x y d x + (x^{2} + 1) e^{y^{2}} d y

\frac{x + 1}{x ^{3}}

\frac{2}{3 ( 3 z - 2 )}

u (t - π)

2 (8 x - 3 y = - 1, 6) 3 (5 x + 2 y = - 41)

What is expand ((x^2-2x+17))/((4-x)(1+x)^2) ?
The solution to expand ((x^2-2x+17))/((4-x)(1+x)^2) is (x^2-2x+17)/(-x^3+2x^2+7x+4)