SOLUTION
The given expressions are
[tex]\frac{y^4}{y^2-2y+1},\frac{-8}{y^2-6y+5}[/tex]
Simplify each expression
[tex]\begin{gathered} \frac{y^4}{y^2-2y+1} \\ =\frac{y^4}{y^2-y-y+1} \\ =\frac{y^4}{(y-1)(y-1)} \end{gathered}[/tex]
The second fraction is simplified as follows:
[tex]\begin{gathered} \frac{-8}{y^2-6y+5} \\ =\frac{y^4}{y^2-y-5y+5} \\ =\frac{-8}{y(y-1)-5(y-1)} \\ =\frac{-8}{(y-1)(y-5)} \end{gathered}[/tex]
Comparing the denominator of the simplified expression,
The least common denominator is
[tex]y-1[/tex]
