计算:(a+2b)(a-2b)(a^4-8a^2b^2+16b^4)

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计算:(a+2b)(a-2b)(a^4-8a^2b^2+16b^4)

计算:(a+2b)(a-2b)(a^4-8a^2b^2+16b^4)
计算:(a+2b)(a-2b)(a^4-8a^2b^2+16b^4)

计算:(a+2b)(a-2b)(a^4-8a^2b^2+16b^4)

(a+2b)(a-2b)(a^4-8a²b²+16^4)
=(a²-4b²)(a²-4b²)²
=(a²-4b²)³
=a^6+3×a²×(4b²)²-3×(a²)²×(4b²)-64b^6
=a^6+12a²b^4-12a^4b²-64a^6
(a-b)³=a³+3ab²-3a²b-b³