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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

(\frac{a + 1}{a}) 5

\frac{6}{( x + 1 ) ^{3}}

(x^{2} - 2 x + 3) d x

\frac{d}{d y} ((x) (0.1 y + ln (0.01 y)))

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