计算:(x-2y)(x+2y)+(2x-y)(2x+y) 计算:(x²+2)(x²-2)-(x-2)(x+2)

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计算:(x-2y)(x+2y)+(2x-y)(2x+y) 计算:(x²+2)(x²-2)-(x-2)(x+2)

计算:(x-2y)(x+2y)+(2x-y)(2x+y) 计算:(x²+2)(x²-2)-(x-2)(x+2)
计算:(x-2y)(x+2y)+(2x-y)(2x+y) 计算:(x²+2)(x²-2)-(x-2)(x+2)

计算:(x-2y)(x+2y)+(2x-y)(2x+y) 计算:(x²+2)(x²-2)-(x-2)(x+2)
计算:(x-2y)(x+2y)+(2x-y)(2x+y)
=x²-4y²+4x²-y²
=5x²-5y²


计算:(x²+2)(x²-2)-(x-2)(x+2)
=x的4次方-4-(x²-4)
=x的4次方-x²

(x-2y)(x+2y)+(2x-y)(2x+y)
=x²-4y²+4x²-y²
=5x²-5y²
=5(x²-y²)
=5(x+y)(x-y)
(x²+2)(x²-2)-(x-2)(x+2)
=x的4次幂 - 4-(x²-4)
=x的4次幂-4- x²+4
=x的4次幂- x²
=x²(x²-1)
=x²(x+1)(x-1)

  (x-2y)(x+2y)+(2x-y)(2x+y)
  =x²-4y²+4x²-y²
  =5x²-5y²

  (x²+2)(x²-2)-(x-2)(x+2)
  =x^4-4-x²+4
  =x^4-x²
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