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

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

4(2x+y)^2-9(x-2y)^2
=(4x+2y)^2-(3x-6y)^2
=（4x+2y+3x-6y)(4x+2y-3x+6y)
=（7x-4y)(x+8y)