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

The solution to expand ((x+1)^2)/((x+2)^4) is (x^2+2x+1)/(x^4+8x^3+24x^2+32x+16)

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

expand

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

\frac{x ^{2} + 2 x + 1}{x ^{4} + 8 x ^{3} + 24 x ^{2} + 32 x + 16}

Solution steps

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

(x + 2)^{4} = x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16

= \frac{( x + 1 ) ^{2}}{x ^{4} + 8 x ^{3} + 24 x ^{2} + 32 x + 16}

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

= \frac{x ^{2} + 2 x + 1}{x ^{4} + 8 x ^{3} + 24 x ^{2} + 32 x + 16}

\frac{2 x + 2}{( x + 10 ) ( x + 4 )}

\frac{24}{s ( s ^{2} + 10 s + 24 )}

(6 e ln (3) + 2)^{2} π

\frac{( 2 x y - e ^{- 2 y} ) ( 2 y - 1 )}{y}

\frac{1}{4} (40 - 8 x = 19 x + 2 - 5 x)

What is expand ((x+1)^2)/((x+2)^4) ?
The solution to expand ((x+1)^2)/((x+2)^4) is (x^2+2x+1)/(x^4+8x^3+24x^2+32x+16)