What is expand (A(x-2)+B)/((x-2)^2) ?

The solution to expand (A(x-2)+B)/((x-2)^2) is (Ax-2A+B)/(x^2-4x+4)

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expand (A(x-2)+B)/((x-2)^2)

expand

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

\frac{A x - 2 A + B}{x ^{2} - 4 x + 4}

Solution steps

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

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

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

Expand

A (x - 2) + B : A x - 2 A + B

= \frac{A x - 2 A + B}{x ^{2} - 4 x + 4}

28

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

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

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

(e - 14)^{2}

What is expand (A(x-2)+B)/((x-2)^2) ?
The solution to expand (A(x-2)+B)/((x-2)^2) is (Ax-2A+B)/(x^2-4x+4)