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

Answer:

$\frac{y-4}{y+8}$

Step-by-step explanation:

Compute the given expression and simplify:

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

Now, factorize and simplify the expression:

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