Fraction unknowns

Divide fractions with unknowns:

Fraction 1: The quantity x squared plus 6 times x plus 9 over the quantity x minus 1.
Fraction 2: the quantity x squared minus 9 over the quantity x squared minus 2 times x plus 1.

 Find Fraction 1 over Fraction 2.

Correct answer:

d = fr((x^2+6)(x+9), x-1) * fr(x^2-2x+1, x^2-9)

Step-by-step explanation:

$$\begin{gathered} f_1=\frac{(x^2+6)(x+9)}{x-1} \\ {f}_2=\frac{(x^2-9)}{x^2-2x+1} \\ d=\frac{f_1}{f_2} \\ d=\frac{(x^2+6)(x+9)}{x-1}\cdot \frac{x^2-2x+1}{x^2-9} \\ d=\frac{(x^2+6)(x+9)}{x-1}\cdot \frac{x^2-2x+1}{x^2-9} \end{gathered}$$

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