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

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

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expand (x^2(x+4))/((x-1)(x+2))

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

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

\frac{s ^{2} - 25}{( s ^{2} + 25 ) ^{2}}

\frac{5 ( k + 1 ) ( k + 2 )}{2}

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

\frac{x \cdot ( x - 1 ) \cdot ( x - 2 )}{6}

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