已知A=2x+y，B=2x-y，计算A²-B².

要详细过程！

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A²?B²＝?2x+y?²??2x-y?²
＝?4x²?4xy?y²???4x²迹简?4xy?郑州灶y²?
＝4x²?4xy?y²－4x²喊扮?4xy?y²
＝8xy

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A²裂伏-B²氏租
=(2x+y)²-(2x-y)²肆核携
=[(2x+y)+(2x-y)][(2x+y)-(2x-y)]
=4x×2y
=8xy

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A²-B²
=(2x+y)²-(2x-y)²
=[(2x+y)+(2x-y)][(2x+y)-(2x-y)]
=4x×2y
=8xy
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