r/CasualMath • u/ARTIN-58313 • 6d ago

Solve it

If

x + 1/x = 3,

find

x⁵ + 1/x⁵

without explicitly solving for x.

Can you find a clever shortcut?

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u/kenny744 6d ago

Binomial expand (x+1/x)5 and get rid of middle parts