How do you simplify $(p^2-9)/(p^2-5p+6)$ and find the excluded values?

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Answer 1 · 2018-06-20T06:24:10

$color(violet)(=> (p+3) / (p-2)$

$(p^2 - 9) / (p^2 -5p + 6)$

$"Numerator " = p^2 - 9 = (p+3) (p-3)$

$"Denominator " = p^2 - 5p + 6 = p^2 - 2p - 3p + 6 = (p-2) (p-3)$

$(p^2 - 9) / (p^2 -5p + 6) = (cancel(p-3) (p + 3)) / (cancel(p-3) (p-2))$

$color(violet)(=> (p+3) / (p-2)$

How do you simplify (p^2-9)/(p^2-5p+6)(p^2-9)/(p^2-5p+6) and find the excluded values?