If (x/y) + (y/x) = 6 the value of (x3/y3) + (y3/x3) is -

A 198

B 176

C 156

D 144

Solution

Correct Answer: Option A

দেওয়া আছে, (x/y) + (y/x) = 6

প্রদত্ত রাশি = (x3/y3) + (y3/x3)
= (x/y)3 + (y/x)3
= {(x/y) + (y/x)}3 - 3 . x/y . y/x {(x/y) + (y/x)}
= 63 - 3 . 6
= 216 - 18
= 198

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