Question

Find the least common denominator for thesetwo rational expressions.8yox - 2y +1 ya - 6y +5Enter the correct answer

Answer 1

The given expressions are

`(y^4)/(y^2-2y+1),(-8)/(y^2-6y+5)`

Simplify each expression

`\begin{gathered} (y^4)/(y^2-2y+1) \\ =(y^4)/(y^2-y-y+1) \\ =(y^4)/((y-1)(y-1)) \end{gathered}`

The second fraction is simplified as follows:

`\begin{gathered} (-8)/(y^2-6y+5) \\ =(y^4)/(y^2-y-5y+5) \\ =(-8)/(y(y-1)-5(y-1)) \\ =(-8)/((y-1)(y-5)) \end{gathered}`

Comparing the denominator of the simplified expression,

The least common denominator is

`y-1`