(a-b)(a+b)(aˇ2+bˇ2)(aˇ4+bˇ4)

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(a-b)(a+b)(aˇ2+bˇ2)(aˇ4+bˇ4)

(a-b)(a+b)(aˇ2+bˇ2)(aˇ4+bˇ4)
(a-b)(a+b)(aˇ2+bˇ2)(aˇ4+bˇ4)

(a-b)(a+b)(aˇ2+bˇ2)(aˇ4+bˇ4)
(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

原式=(a^2-b^2)(aˇ2+bˇ2)(aˇ4+bˇ4)=(aˇ4-bˇ4))(aˇ4+bˇ4)=a^8-b^8

(a-b)(a+b)(aˇ2+bˇ2)(aˇ4+bˇ4)
=(aˇ2-bˇ2)(aˇ2+bˇ2)(aˇ4+bˇ4)
=(aˇ4-bˇ4)(aˇ4+bˇ4)
=aˇ8-bˇ8