What is expand ((x-2)(x-5))/((x-3)^2) ?

The solution to expand ((x-2)(x-5))/((x-3)^2) is (x^2-7x+10)/(x^2-6x+9)

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expand ((x-2)(x-5))/((x-3)^2)

expand

\frac{( x - 2 ) ( x - 5 )}{( x - 3 ) ^{2}}

\frac{x ^{2} - 7 x + 10}{x ^{2} - 6 x + 9}

Solution steps

\frac{( x - 2 ) ( x - 5 )}{( x - 3 ) ^{2}}

(x - 3)^{2} = x^{2} - 6 x + 9

= \frac{( x - 2 ) ( x - 5 )}{x ^{2} - 6 x + 9}

Expand

(x - 2) (x - 5) : x^{2} - 7 x + 10

= \frac{x ^{2} - 7 x + 10}{x ^{2} - 6 x + 9}

\frac{120 ( - x ^{2} + 4 )}{( x ^{2} + x + 4 ) ^{2}}

\frac{sin ( b ) - cot ( b ) ( 1 + cos ( b ) )}{1 + cos ( b )}

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

4 (\frac{1}{2} + ln (2))

(sec (θ) - tan (θ)) (sec (θ) + tan (θ))^{2}

What is expand ((x-2)(x-5))/((x-3)^2) ?
The solution to expand ((x-2)(x-5))/((x-3)^2) is (x^2-7x+10)/(x^2-6x+9)