现规定一种运算a❤b=﹙a+2b﹚﹙a-b﹚.例如2❤3=﹙2+2×3﹚×﹙2-3﹚=-8,根据此运算规则计算﹙2x+y﹚❤﹙x-2y﹚
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![现规定一种运算a❤b=﹙a+2b﹚﹙a-b﹚.例如2❤3=﹙2+2×3﹚×﹙2-3﹚=-8,根据此运算规则计算﹙2x+y﹚❤﹙x-2y﹚](/uploads/image/z/2738396-20-6.jpg?t=%E7%8E%B0%E8%A7%84%E5%AE%9A%E4%B8%80%E7%A7%8D%E8%BF%90%E7%AE%97a%26%2310084%3Bb%EF%BC%9D%EF%B9%99a%EF%BC%8B2b%EF%B9%9A%EF%B9%99a%EF%BC%8Db%EF%B9%9A.%E4%BE%8B%E5%A6%822%26%2310084%3B3%EF%BC%9D%EF%B9%992%EF%BC%8B2%C3%973%EF%B9%9A%C3%97%EF%B9%992%EF%BC%8D3%EF%B9%9A%EF%BC%9D%EF%BC%8D8%2C%E6%A0%B9%E6%8D%AE%E6%AD%A4%E8%BF%90%E7%AE%97%E8%A7%84%E5%88%99%E8%AE%A1%E7%AE%97%EF%B9%992x%EF%BC%8By%EF%B9%9A%26%2310084%3B%EF%B9%99x%EF%BC%8D2y%EF%B9%9A)
现规定一种运算a❤b=﹙a+2b﹚﹙a-b﹚.例如2❤3=﹙2+2×3﹚×﹙2-3﹚=-8,根据此运算规则计算﹙2x+y﹚❤﹙x-2y﹚
现规定一种运算a❤b=﹙a+2b﹚﹙a-b﹚.
例如2❤3=﹙2+2×3﹚×﹙2-3﹚=-8,根据此运算规则计算﹙2x+y﹚❤﹙x-2y﹚
现规定一种运算a❤b=﹙a+2b﹚﹙a-b﹚.例如2❤3=﹙2+2×3﹚×﹙2-3﹚=-8,根据此运算规则计算﹙2x+y﹚❤﹙x-2y﹚
原式=[(2x+y)+2(x-y)][(2x+y)-(x-2y)]
=(4x-y)(x+3y)
=4x²+11xy-3y²
﹙2x+y﹚❤﹙x-2y﹚
=(2x+y+2x-4y)*(2x+y-x+2y)
=(4x-3y)(x+3y)
﹙2x+y﹚❤﹙x-2y﹚=(2x+y+2x-4y)x(2x+y-x+2y)=4x^2+9xy-9y^2