Question

Perform the indicated operation of multiplication or division on the rational expressions and simplify (y ^ 2 - 7y + 12)/(y + 1) * (y + 1)/(y ^ 2 + 5y - 24)

Answer 1

`(y-4)/(y+8)`

Explanation:

Compute the given expression and simplify:

`\begin{gathered} ((y^2-7y+12)(y+1))/((y+1)(y^2+5y-24)) \\ =(y^2-7y+12)/(y^2+5y-24) \end{gathered}`

Now, factorize and simplify the expression:

`\begin{gathered} ((y-3)(y-4))/((y-3)(y+8)) \\ \text{ Eliminate like terms:} \\ =(y-4)/(y+8) \end{gathered}`