Question

factorise x¹⁶-y¹⁶+x⁸+y⁸
class 8​

Answer 1

Answer:

x^16 -y^16+x^8+y^8

x^24 - y^8

Answer 2

${x}^{16} - {y}^{16} + {x}^{8} + {y}^{8} \\ {x}^{8} ( {x}^{8} + 1) - {y}^{8} ( {y}^{8} - 1)$

( y^8 - 1 ) can be expanded further but for purpose of factorisation, we will solve till here only.

Thank you.

Have a Nice Day.