Question

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Answer 1

$(a + b)(a - b)( {a}^{2} + {b}^{2}) ( {a}^{4} + {b}^{4} ) \\ ( {a}^{2} - {b}^{2})( {a}^{2} + {b}^{2} )( {a}^{4} + {b}^{4} ) \\ ( {a}^{4} - {b}^{4} )( {a}^{4} + {b}^{4} ) \\ ( {a}^{8} - {b}^{8} )answer$

Answer 2

Answer:

Question :

Find the continued products.

Answer :

$(ii) \: (a + b)(a - b)( {a}^{2} + {b}^{2} )( {a}^{4} + {b}^{4} ) \\ \\ we \: know \: that \: \\ \\ (a + b)(a - b) \: = ( {a}^{2} - {b}^{2}) \\ \\ by \: using \: that \\ \\ ( {a}^{2} - {b}^{2})( {a}^{2} + {b}^{2} )( {a}^{4} + {b}^{4} ) \\ \\ = ( {a}^{4} + {b}^{4} ) \\ \\ this \: is \: because \: \\ \\ ( {a}^{2} - {b}^{2})( {a}^{2} + {b}^{2} ) \: will \: get \: cancelled$

Thank you !