65.2k views
2 votes
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)

Perform the indicated operation of multiplication or division on the rational expressions-example-1

1 Answer

1 vote

Answer:


(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}

User Yiannr
by
7.4k points