If (1/x + x) = 8, What will be the value of (x^3 + 1/x^3)?

Question

if#(1/x + x)=8 #
find #(x^3 + 1/x^3)#

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Answer 1 · 2018-06-23T12:32:21

#rarrx+1/x=8#

#rarrx^3+(1/x)^3#

#=(x+1/x)^3-3*x*(1/x)*(x+1/x)#

#=8^3-3*8=488#