What is expand (Ax+5A+B)/((x-2)(x-3)) ?

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

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expand (Ax+5A+B)/((x-2)(x-3))

expand

\frac{A x + 5 A + B}{( x - 2 ) ( x - 3 )}

\frac{A x + 5 A + B}{x ^{2} - 5 x + 6}

Solution steps

\frac{A x + 5 A + B}{( x - 2 ) ( x - 3 )}

Expand

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

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

\frac{25}{( x ^{2} - 1 ) ^{2}}

\frac{x - 5}{5 ( x - 3 )}

(a^{2} - b^{2}) - (ab)^{2}

5 - 8

\frac{1}{( 6 x - 2 ) ^{4}}

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