Factories (x+1)cube-(x-1)cube
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Step-by-step explanation:
(a+b)³=a³+b³+3ab(a+b)
(a-b)³=a³-b³-3ab(a-b)
(x+1)³-(x-1)³
=x³+1+3x(x+1)-[x³-1-3x(x-1)]
=x³+1+3x²+3x-(x³-1-3x²+3x)
=x³+1+3x²+3x+x³+1+3x³-3x
=2x³+2+6x²
=2(x³+3x²+1)
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