数学整式的除法[(x+2y)×(x-2y)+4(x-y)^2]÷6x

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数学整式的除法[(x+2y)×(x-2y)+4(x-y)^2]÷6x

数学整式的除法[(x+2y)×(x-2y)+4(x-y)^2]÷6x
数学整式的除法
[(x+2y)×(x-2y)+4(x-y)^2]÷6x

数学整式的除法[(x+2y)×(x-2y)+4(x-y)^2]÷6x
[(x+2y)(x-2y)+4(x-y)²]÷6x
=[(x-y)²+4(x-y)²]÷6x
=6(x-y)²÷6x
=(x-y)²/x

(5X-8y)/5

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原式=x^2 - 4y^2 +4(x^2 +y^2 -2xy)/6x
  =(5x^2 - 8xy)/6x
=(5x-8y)/6

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