Excluding Y

[InNeedOfHelp!]

What are the excluded values of y in the expression?


y^2+y-2 ||space|| y^2-5y+5
--------------- x ---------------
y^2-2y-15 ||space|| y^2+5y+6

 

[Unco]

\(\displaystyle \mbox{ \frac{y^2 + y - 2}{y^2 - 2y - 15} \times \frac{y^2 - 5y + 5}{y^2 + 5y + 6}}\)

Excluded values for y are those which cause a zero denominator.

So set each denominator to zero and solve for y (they can both be factorised) to find the excluded values for y.