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

The solution to expand ((x+1)^2(x^2+2x+2))/(x+3) is (x^4+4x^3+7x^2+6x+2)/(x+3)

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

expand

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

\frac{x ^{4} + 4 x ^{3} + 7 x ^{2} + 6 x + 2}{x + 3}

Solution steps

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

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

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

Expand

(x^{2} + 2 x + 1) (x^{2} + 2 x + 2) : x^{4} + 4 x^{3} + 7 x^{2} + 6 x + 2

= \frac{x ^{4} + 4 x ^{3} + 7 x ^{2} + 6 x + 2}{x + 3}

(x - 1) ln (x + 1)

e^{3 x - 3} h (x - 1)

(k) (2.85)^{2} (\frac{k}{2 π ^{2}} + 107.92)

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

\frac{( D + 3 ) t + ( D + 1 ) t ^{2}}{D ^{2} + 1}

What is expand ((x+1)^2(x^2+2x+2))/(x+3) ?
The solution to expand ((x+1)^2(x^2+2x+2))/(x+3) is (x^4+4x^3+7x^2+6x+2)/(x+3)