Question

(a8+b8)(a4+b4)(a2+b2)(a+b)(a-b) solve
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Answer 1

Answer:

=a¹⁶- b¹⁶

Step-by-step explanation:

(a8+b8)(a4+b4)(a2+b2)(a+b)(a-b)

=(a⁸+b⁸)(a⁴+b⁴)(a²+b²)(a²-b²)

=(a⁸+b⁸)(a⁴+b⁴)(a⁴-b⁴)

=(a⁸+b⁸)(a⁸-b⁸)

={ (a⁸)²- (b⁸)²}

=a¹⁶- b¹⁶

Answer 2

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

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

$= ( {a}^{8} + {b}^{8} )( {a}^{4} + {b}^{4} )( {a}^{4} - {b}^{4} )$

$= ( {a}^{8} + {b}^{8} )( {a}^{8} - {b}^{8} )$

$= ( {a}^{16} - {b}^{16} )$