if x+1/x = 7 then x cube + 1 / x cube =
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given, x + 1/x = 7 ____1
cubing both sides,
x^3 + 3(x)(1/x)(x+1/x) + (1/x)^3 = 7^3
x^3 + 3(x+1/x) + 1/x^3 = 343
x^3 + 3(7) +1/x^3 = 343 [By 1]
x^3 + 21 + 1/x^3 = 343
Thus, x^3 + 1/x^3 = 343-21 = 322
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