计算(a^2-2b^2)(a+2b)2ab(a-b);
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计算(a^2-2b^2)(a+2b)2ab(a-b);
= (a²-2b²)(a+2b)(a-b)*2ab
= (a²-2b²)(a²+ab-2b²)*2ab
= (a²-2b²)(a²-2b² + ab)*2ab
= ((a²-2b²)² + ab(a²-2b²))*2ab
= (a^4 - 4a²b² +4b^4 + a^3 b -2ab^3) *2ab
= (a^4 +a^3b - 4a²b² -2ab^3 +4b^4 )*2ab
= 2a^5 b + 2a^4 b² - 8a^3b^3 - 4a²b^4 + 8ab^5
= (a²-2b²)(a²+ab-2b²)*2ab
= (a²-2b²)(a²-2b² + ab)*2ab
= ((a²-2b²)² + ab(a²-2b²))*2ab
= (a^4 - 4a²b² +4b^4 + a^3 b -2ab^3) *2ab
= (a^4 +a^3b - 4a²b² -2ab^3 +4b^4 )*2ab
= 2a^5 b + 2a^4 b² - 8a^3b^3 - 4a²b^4 + 8ab^5
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