分解因式;1-4x平方-4y平方+8xy

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分解因式;1-4x平方-4y平方+8xy

1-4x方-4y方+8xy
=1-(4x方+4y方-8xy)
=1-(2x-2y)方
=[1-(2x-2y)][1+2x-2y]
=(1-2x+2y)( 1+2x-2y)

1-4x平方-4y平方+8xy=1-4(x-y)^2=[1+2(x-y)]*[1-2(x-y)]=(1+2x-2y)(1-2x+2y)

1-4x²-4y²+8xy
=1-(4x²-8xy+4y²)
=1-[(2x)²-2(2x)(2y)+(2y)²]
=1-(2x-2y)²
=[1-(2x-2y)][1+(2x-2y)]
=(1-2x+2y)(1+2x-2y)