Question 711193
{{{(p^2-4p-32)/(p+4)}}}
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Restriction: p not equal to -4 (zero denominator is undefined)
Factor Numerator:
{{{(p-8)(p+4)/(p+4)}}}
Cancel out the (p+4) terms and you are left with:
{{{highlight(p-8)}}}
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{{{(q^2+11q+24)/(q^2-5q-24)}}}
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Factor Numerator:
{{{(q+3)(q+8)/(q^2-5q-24)}}}
Factor Denominator:
{{{(q+3)(q+8)/(q+3)(q-8)}}}
Note that q=-3 or q=8 give a zero denominator, so those values are not allowed
Cancel out the (q+3) terms and you are left with:
{{{highlight((q+8)/(q-8))}}}
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Good Luck,
tutor_paul@yahoo.com