因式分解怎么做啊?急!
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原式=(x+y)^4+(x+y)²(x-y)²+(x-y)^4
=(x+y)^4+2(x+y)²(x-y)²+(x-y)^4-(x+y)²(x-y)²
=[(x+y)²+(x-y)²]²-(x+y)²(x-y)²
=[(x+y)²+(x-y)²+(x+y)(x-y)][(x+y)²+(x-y)²-(x+y)(x-y)]
=(x²+2xy+y²+x²-2xy+y²+x²-y²)(x²+2xy+y²+x²-2xy+y²-x²+y²)
=(3x²+y²)(x²+3y²)
=(x+y)^4+2(x+y)²(x-y)²+(x-y)^4-(x+y)²(x-y)²
=[(x+y)²+(x-y)²]²-(x+y)²(x-y)²
=[(x+y)²+(x-y)²+(x+y)(x-y)][(x+y)²+(x-y)²-(x+y)(x-y)]
=(x²+2xy+y²+x²-2xy+y²+x²-y²)(x²+2xy+y²+x²-2xy+y²-x²+y²)
=(3x²+y²)(x²+3y²)
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