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

The solution to expand ((x+1)^2(x^2-2x+3))/((x+3)(x-2)) is (x^4+4x+3)/(x^2+x-6)

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

expand

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

\frac{x ^{4} + 4 x + 3}{x ^{2} + x - 6}

Solution steps

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

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

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

Expand

(x + 3) (x - 2) : x^{2} + x - 6

= \frac{( x ^{2} + 2 x + 1 ) ( x ^{2} - 2 x + 3 )}{x ^{2} + x - 6}

Expand

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

= \frac{x ^{4} + 4 x + 3}{x ^{2} + x - 6}

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

(3 - π)^{2}

\frac{( 3 x - 1 ) 9 x ^{4} + 1}{12 x ^{3} - 1}

e^{i t} (e^{2 i t} - e^{i t} + 2)

(m^{4} - 3 m^{2} + 1) d m

What is expand ((x+1)^2(x^2-2x+3))/((x+3)(x-2)) ?
The solution to expand ((x+1)^2(x^2-2x+3))/((x+3)(x-2)) is (x^4+4x+3)/(x^2+x-6)