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  • 因式分解:(x+y-2xy)(x+y-2)+(1+xy)2 (a2+9b2-1)2-36a2b2 2x2-7xy-22y2-5x=35y-3 x2+3xy+2y2+4x+5y+3

    因式分解:(x+y-2xy)(x+y-2)+(1+xy)2 (a2+9b2-1)2-36a2b2 2x2-7xy-22y2-5x=35y-3 x2+3xy+2y2+4x+5y+3
    x9+x6+x3-3
    數(shù)學(xué)人氣:978 ℃時間:2020-06-19 18:57:49
    優(yōu)質(zhì)解答
    (x+y-2xy)(x+y-2)+(1+xy)2
    =(x+y)²-2(x+y)(xy+1)+4xy+(1+xy)² 懷疑后面是(1-xy)²
    題目可能有問題
    (a2+9b2-1)2-36a2b2
    =(a²+9b²-1+6ab)(a²+9b²-1-6ab)
    =[(a+3b)²-1][(a-3b)²-1]
    =(a+3b+1)(a+3b-1)(a-3b+1)(a-3b-1)
    2x2-7xy-22y2-5x+35y-3
    =(2x-11y)(x+2y)-5x+35y-3
    =(2x-11y+1)(x+2y-3)
    x2+3xy+2y2+4x+5y+3
    =(x+y)(x+2y)+4x+5y+3
    =(x+y+1)(x+2y+3)
    x9+x6+x3-3
    =x^9-1+x^6-1+x³-1
    =(x³-1)(x^6+x³+1)+(x³-1)(x³+1)+(x³-1)
    =(x³-1)(x^6+2x³+2)
    =(x-1)(x²+x+1)(x^6+2x³+2)
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