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

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

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

expand

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

\frac{x + 4}{2 + x - x ^{2}}

Solution steps

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

Expand

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

= \frac{x + 4}{2 + x - x ^{2}}

\frac{\frac{d}{d x} ( ( y ) ( x ^{2} + x y + y ^{2} ) )}{x ^{2}}

\frac{s ^{2} + 6 s + 5}{( x + 3 ) ( x ^{2} + 25 )}

\frac{( b + 2 ) ( a + 1 )}{2}

(\frac{1 + cos ( 2 x )}{2}) (\frac{1 + cos ( 2 x )}{2})

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