25(2x+y)^2-16(x-2y)^2

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25(2x+y)^2-16(x-2y)^2
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25(2x+y)^2-16(x-2y)^2
25(2x+y)^2-16(x-2y)^2

25(2x+y)^2-16(x-2y)^2
25(2x+y)^2-16(x-2y)^2
=[5(2x+y)+4(x-2y)][5(2x+y)-4(x-2y)]
=(14x-3y)(6x+13y)
=64x^2+164xy-39y^2

原式=(10x+5y+4x-8y)(10x+5y-4x+8y)
=(14x-3y)(6x+13y)