What is expand (x^2+20x+31)/((x+2)^2(x-3)) ?

The solution to expand (x^2+20x+31)/((x+2)^2(x-3)) is (x^2+20x+31)/(x^3+x^2-8x-12)

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expand (x^2+20x+31)/((x+2)^2(x-3))

expand

\frac{x ^{2} + 20 x + 31}{( x + 2 ) ^{2} ( x - 3 )}

\frac{x ^{2} + 20 x + 31}{x ^{3} + x ^{2} - 8 x - 12}

Solution steps

\frac{x ^{2} + 20 x + 31}{( x + 2 ) ^{2} ( x - 3 )}

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

= \frac{x ^{2} + 20 x + 31}{( x ^{2} + 4 x + 4 ) ( x - 3 )}

Expand

(x^{2} + 4 x + 4) (x - 3) : x^{3} + x^{2} - 8 x - 12

= \frac{x ^{2} + 20 x + 31}{x ^{3} + x ^{2} - 8 x - 12}

\frac{( 4 x + 1 ) ( 5 x - 1 )}{x ^{2} - 9}

\frac{6 x ^{2} + 20 x + 3}{( 3 x + 5 ) ^{2}}

(\frac{x + 1}{2 x})^{9}

\frac{5 x ( 6480 - 5 x ^{2} )}{14}

2 + \frac{1}{2} cos (π (x + 1))

What is expand (x^2+20x+31)/((x+2)^2(x-3)) ?
The solution to expand (x^2+20x+31)/((x+2)^2(x-3)) is (x^2+20x+31)/(x^3+x^2-8x-12)