What is expand (3x^2+8x+2)/(x(x+1)^2) ?

The solution to expand (3x^2+8x+2)/(x(x+1)^2) is (3x^2+8x+2)/(x^3+2x^2+x)

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expand (3x^2+8x+2)/(x(x+1)^2)

expand

\frac{3 x ^{2} + 8 x + 2}{x ( x + 1 ) ^{2}}

\frac{3 x ^{2} + 8 x + 2}{x ^{3} + 2 x ^{2} + x}

Solution steps

\frac{3 x ^{2} + 8 x + 2}{x ( x + 1 ) ^{2}}

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

= \frac{3 x ^{2} + 8 x + 2}{x ( x ^{2} + 2 x + 1 )}

Expand

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

= \frac{3 x ^{2} + 8 x + 2}{x ^{3} + 2 x ^{2} + x}

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

(6 x - 2 y) (3 - y^{'} (x))

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

\frac{x - 5}{( x - 9 ) ( x + 8 )}

3 (7 - 9 k + 23 k = 4 k - (24 - k))

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