rozłóż na czynniki x³-3x²+3x-1=
x³-3x²+3x-1 = x³-1³-3x²+3x = (x-1)(x²+x+1²)-3x(x-1) = (x-1)(x²+x+1-3x) = (x-1)(x-2x+1) =
= (x-1)(x-1)² = (x-1)(x-1)(x-1)
a³-b³ = (a-b)(a²+ab+b²)
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x³-3x²+3x-1 = x³-1³-3x²+3x = (x-1)(x²+x+1²)-3x(x-1) = (x-1)(x²+x+1-3x) = (x-1)(x-2x+1) =
= (x-1)(x-1)² = (x-1)(x-1)(x-1)
a³-b³ = (a-b)(a²+ab+b²)