Explicație pas cu pas:
b = (5⁶²+5⁶¹+5⁶⁰)•961 = 5⁶⁰•(5²+5+1)•31² = (5²⁰)³•(25+6)•31² = (5²⁰)³•31³ = (5²⁰•31)³
=> b este cub perfect
q.e.d.
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Explicație pas cu pas:
b = (5⁶²+5⁶¹+5⁶⁰)•961 = 5⁶⁰•(5²+5+1)•31² = (5²⁰)³•(25+6)•31² = (5²⁰)³•31³ = (5²⁰•31)³
=> b este cub perfect
q.e.d.