因式分解.(1)6a²b³(x-y)-9a³b²(x-y)³ (2)x
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因式分解.(1)6a²b³(x-y)-9a³b²(x-y)³ (2)x的8次方-1
(3)2x²-7xy+6y²
(3)2x²-7xy+6y²
(1)6a²b³(x-y)-9a³b²(x-y)³
=3a²b²(x-y)[2b-3a(x-y)²]
=3a²b²(x-y)(2b-3ax²+6axy-3ay²)
(2)x的8次方-1
=(x^4+1)(x^4-1)
=(x^4+1)(x²+1)(x²-1)
=(x^4+1)(x²+1)(x+1)(x-1)
(3)2x²-7xy+6y²
=(2x-3y)(x-2y)
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再问: 还有一道x^4+2x²-8 一道2x²-7xy+6y²
再答: x^4+2x²-8 =(x²+4)(x²-2) 2x²-7xy+6y² =(2x-3y)(x-2y)
=3a²b²(x-y)[2b-3a(x-y)²]
=3a²b²(x-y)(2b-3ax²+6axy-3ay²)
(2)x的8次方-1
=(x^4+1)(x^4-1)
=(x^4+1)(x²+1)(x²-1)
=(x^4+1)(x²+1)(x+1)(x-1)
(3)2x²-7xy+6y²
=(2x-3y)(x-2y)
如果本题有什么不明白可以追问,如果满意请点击“选为满意答案”
再问: 还有一道x^4+2x²-8 一道2x²-7xy+6y²
再答: x^4+2x²-8 =(x²+4)(x²-2) 2x²-7xy+6y² =(2x-3y)(x-2y)
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