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

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

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expand (x^2+2x+2)/((x+1)^2)

expand

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

\frac{x ^{2} + 2 x + 2}{x ^{2} + 2 x + 1}

Solution steps

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

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

= \frac{x ^{2} + 2 x + 2}{x ^{2} + 2 x + 1}

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

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

\frac{2 ( - r + 45 )}{5}

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

\frac{( 6 + x ) ^{2}}{4}

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