find the value of ( a +1) ( 1 - a) (1- a + a^2) ( 1+ a + a^2) (1 + a^3 × a^3)
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( a +1) ( 1 - a) (1- a + a^2) ( 1+ a + a^2) (1 + a^3 × a^3)
=[( a +1) (1- a + a^2)] [( 1 - a)( 1+ a + a^2) ](1 + a^3 × a^3)
=(1+a^3)(1-a^3)(1+a^6)
=[(1+a^3)(1-a^3)](1+a^6)
=(1-a^6)(1+a^6)
=1-a^12
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