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

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

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

expand

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

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

Solution steps

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

Expand

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

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

(x^{2} - y^{2}) (x^{2} - y^{2})

\frac{( 6 - x - 2 ) ( 3 - x + 1 )}{- x + 2}

\frac{18}{x ( x ^{2} + 1 )}

(y^{2} + 1) \frac{d y}{d x}

\frac{( x + h ) ^{2}}{h}

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