What is expand ((x-2)(x-3))/(x^2-36) ?

The solution to expand ((x-2)(x-3))/(x^2-36) is (x^2-5x+6)/(x^2-36)

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expand ((x-2)(x-3))/(x^2-36)

expand

\frac{( x - 2 ) ( x - 3 )}{x ^{2} - 36}

\frac{x ^{2} - 5 x + 6}{x ^{2} - 36}

Solution steps

\frac{( x - 2 ) ( x - 3 )}{x ^{2} - 36}

Expand

(x - 2) (x - 3) : x^{2} - 5 x + 6

= \frac{x ^{2} - 5 x + 6}{x ^{2} - 36}

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

\frac{6 x + 2}{( x + 1 ) ( 2 x + 1 )}

\frac{5}{( s - 2 ) ( s - 3 ) ( s - 6 )}

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

\frac{6}{( x + 1 ) ^{4}}

What is expand ((x-2)(x-3))/(x^2-36) ?
The solution to expand ((x-2)(x-3))/(x^2-36) is (x^2-5x+6)/(x^2-36)