因式分解8x^2(2x^2-y^2)+y^4

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因式分解8x^2(2x^2-y^2)+y^4

因式分解8x^2(2x^2-y^2)+y^4
因式分解8x^2(2x^2-y^2)+y^4

因式分解8x^2(2x^2-y^2)+y^4
8x²(2x²-y²)+y^4
=16x^4-8x²y²+y^4
=(4x²-y²)²
=(2x+y)²(2x-y)²

8x²(2x²-y²)+y^4
=16x^4-8x²y²+y^4
=(4x²-y²)²
=[(2x-y)(2x+y)]²

8x^2(2x^2-y^2)+y^4
=16x^4-8x²y²+y^4
=（4x²-y²）²

8x^2(2x^2-y^2)+y^4
=16x^4-8x^2y^2+y^4
=(4x^2)^2-8x^2y^2+(y^2)^2
=(4x^2-y^2)^2

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