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数学
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因式分解:1.x^6+y^6-x^4y^2-x^2y^4 2.x^3-8y^3+2x^2+4xy+8y^2
人气:136 ℃ 时间:2019-08-26 08:32:36
解答
1、原式=(x²+y²)(x^4-x²y²+y^4)-x²y²(x²+y²)
=(x²+y²)(x^4-2x²y²+y^4)
=(x²+y²)(x²-y²)²
=(x²+y²)(x+y)²(x-y)²
2、原式=(x-2y)(x²+2xy+4y²)+2(x²+2xy+4y²)
=(x²+2xy+4y²)(x-2y+2)
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