因式分解:3m[(2x+n)(2x-n)+y(y-4x)]

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因式分解:3m[(2x+n)(2x-n)+y(y-4x)]

因式分解:3m[(2x+n)(2x-n)+y(y-4x)]
因式分解:3m[(2x+n)(2x-n)+y(y-4x)]

因式分解:3m[(2x+n)(2x-n)+y(y-4x)]
3m[(2x+n)(2x-n)+y(y-4x)]
=3m=[4x²-n²+y²-4xy]
=3m[(4x²-4xy+y²-n²]
=3m[(2x-y)²-n²]
=3m(2x-y+n)(2x-y-n)

原式=3m[4x^2-n^2+y^2-4xy]
=3m(4x^2-4xy+y^2-n^2)
=3m[(2x-y)^2-n^2]
=3m(2x-y-n)(2x-y+n)