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

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

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

expand

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

\frac{x ^{3} + 4 x ^{2} + 4 x}{x ^{2} - 2 x - 3}

Solution steps

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

(x + 2)^{2} = x^{2} + 4 x + 4

= \frac{x ( x ^{2} + 4 x + 4 )}{x ^{2} - 2 x - 3}

Expand

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

= \frac{x ^{3} + 4 x ^{2} + 4 x}{x ^{2} - 2 x - 3}

\frac{d}{d t} ((x) (t + sin (t) - 1))

\frac{4 ( s + 2 )}{( s + 1 ) ( s + 3 )}

(a e^{3} - 2 a^{2} + 4) (a e^{3} - 3 a)

\frac{2}{( 4 + h ) ^{2}}

(a - 2, b - 2) (\frac{b}{a})^{3}

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