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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

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

(- 5 + 5 i)^{5}

3 \cdot (4 - \frac{x}{9})

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

- 1 + (- 2) (x - \frac{3 π}{4})

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