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Er Chitaranjan Kumar

· started a discussion

· 1 Months ago

how can u put (a^2+1/a^2-1) in place of (a+1/a)^2

Question:

If \(\left (a + \cfrac {1}{a} \right )^2\) = 3, then the value of a3 +  \(\cfrac{1}{a^3}\)  is :

Options:
A) 0
B) 1
C) 2
D) 6
Solution:
Ans: (a)  


Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Since, (a+b)^2 = a^2 + b^2 + 2ab

Similarly,

(a+1/a)^2 = (a)^2 + (1/a)^2 + 2 * a * 1/a = a^2 + 1/a^2 + 2

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