If p=a+1/a and q=a-1/a, wt is p*p-q*q?
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Answer:
4/a
Step-by-step explanation:
given that ;
p = a+1/a ; q = (a=1)/a
p*p = (a+1)(a+1) / a² = (a²+2a+1)/a²
q*q = (a-1)(a-1) / a² = (a²-2a+1)/a²
now add these equations
P*P + Q*Q = (a²+2a+1)/a² - (a²-2a+1)/a²
(the denominators are same so we can add numerators)
= 4a/a²
= 4/a
Hope it helps you.
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