9(x-y)^2-(x+y)^2因式分解

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9(x-y)^2-(x+y)^2因式分解
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9(x-y)^2-(x+y)^2因式分解
9(x-y)^2-(x+y)^2因式分解

9(x-y)^2-(x+y)^2因式分解
9(x-y)^2-(x+y)^2 = [3(x-y)]^2 -(x+y)^2 = [3(x-y)+(x+y)]*[3(x-y)-(x+y)]=4(2x-y)(x-2y)

9(x-y)^2-(x+y)^2=(3x-3y)^2-(x+y)^2=(3x-3y+x+y)(3x-3y-x-y)=(4x-2y)(2x-4y)=4(2x-y)(x-2y)

( 3(x-y) + (x+y) )*( 3(x-y) - (x+y) )

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