Question 193956: simplify
(p-the square root of n)*(p + the square root of n)
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! these are conjugates, use distribution techniques to resolve, in fact use FOIL here,
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(p-sqrt(n) ) * (p+sqrt(n) )
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p^2 +p sqrt(n) - p sqrt(n) - sqrt(n) sqrt(n),,,,,,,,,,,note +psqrtn -psqrtn =0, typical of conjugates
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p^2 - sqrt (n)^2,,,,,,note sqrtn^2=n
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p^2 -n
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check
let n=4, p=3,,,,use calculator on original and answer, both gave (5),,,ok
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