（（a+1/2b)² -(a-1/2b)² )(2a-1/2b)(1/2b+2a)(1/4b² +4_数学解答

（（a+1/2b)² -(a-1/2b)² )(2a-1/2b)(1/2b+2a)(1/4b² +4a² )
化简.其中a=-1b=2求值

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解答

原式=(a+1/2b+a-1/2b)(a+1/2b-a+1/2b)(4a²-1/4b²)(4a²+1/4b²)
=2ab(16a^4-1/16b^4)
=32a^5b-1/8ab^5
=-64-(-4)
=-60