What is expand (2x^3+5x^2+4x+3)/((x+1)^2) ?

The solution to expand (2x^3+5x^2+4x+3)/((x+1)^2) is (2x^3+5x^2+4x+3)/(x^2+2x+1)

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expand (2x^3+5x^2+4x+3)/((x+1)^2)

expand

\frac{2 x ^{3} + 5 x ^{2} + 4 x + 3}{( x + 1 ) ^{2}}

\frac{2 x ^{3} + 5 x ^{2} + 4 x + 3}{x ^{2} + 2 x + 1}

Solution steps

\frac{2 x ^{3} + 5 x ^{2} + 4 x + 3}{( x + 1 ) ^{2}}

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

= \frac{2 x ^{3} + 5 x ^{2} + 4 x + 3}{x ^{2} + 2 x + 1}

[\frac{7}{( x + 4 ) ^{2}}]

((x + 1) (x - 1))^{3}

\frac{( x ^{2} - 2 x - 15 ) ( x + 3 )}{( - x ^{2} - 1 )}

(3 x^{2} - 5 x - 4 \circ 2 x + 2) (3)

1 - 4.6277700000000 \dots^{- 15}

What is expand (2x^3+5x^2+4x+3)/((x+1)^2) ?
The solution to expand (2x^3+5x^2+4x+3)/((x+1)^2) is (2x^3+5x^2+4x+3)/(x^2+2x+1)