
(4x^2-y^2)[(2x+y)^2+(2x-y)^2]
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(4x^2-y^2)[(2x+y)^2+(2x-y)^2]
=(4x^2-y^2)(4x^2+4xy+y^2+4x^2-4xy+y^2)
=(4x^2-y^2)(8x^2+2y^2)
=2(4x^2-y^2)(4x^2+y^2)
=2(16x^4-y^4)
=32x^4-2y^4
=(4x^2-y^2)(4x^2+4xy+y^2+4x^2-4xy+y^2)
=(4x^2-y^2)(8x^2+2y^2)
=2(4x^2-y^2)(4x^2+y^2)
=2(16x^4-y^4)
=32x^4-2y^4
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