求﹙x²＋y²﹚²－4x²y²的值

求﹙x²＋y²﹚²－4x²y²的值
求﹙x²＋y²﹚²－4x²y²的值

求﹙x²＋y²﹚²－4x²y²的值
﹙x²＋y²﹚²－4x²y²
=x^4+2x²y²+y^4-4x²y²
=x^4-2x²y²+y^4
=﹙x²-y²﹚²
=(x+y)²(x-y)²

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

﹙x²＋y²﹚²－4x²y²
=﹙x²＋y²﹚²－(2xy)²
=（x²+y²+2xy）（x²+y²-2xy)
=(x+y)²(x-y)²

=﹙x²＋y²﹚²－(2xy)²
=（x²+y²+2xy）（x²+y²-2xy)
=(x+y)²(x-y)²