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

The solution to expand ((x+4)(x-3))/((x-2)(x^2+2)) is (x^2+x-12)/(x^3+2x-2x^2-4)

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expand ((x+4)(x-3))/((x-2)(x^2+2))

expand

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

\frac{x ^{2} + x - 12}{x ^{3} + 2 x - 2 x ^{2} - 4}

Solution steps

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

Expand

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

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

Expand

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

= \frac{x ^{2} + x - 12}{x ^{3} + 2 x - 2 x ^{2} - 4}

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

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

2 (3 - 1)

\frac{s}{( s + 1 ) ( s ^{2} + 1 )}

(8 x^{2} + 7) (5 x - \frac{1}{4})

What is expand ((x+4)(x-3))/((x-2)(x^2+2)) ?
The solution to expand ((x+4)(x-3))/((x-2)(x^2+2)) is (x^2+x-12)/(x^3+2x-2x^2-4)