分解因式:1,a³ +27 2,8-m³ 3,-27x³+8 4,y²(x

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  • 1,a³ +27

    =(a+3)(a²-3a+9)

    2,8-m³

    =(2-m)(4+2m+m²)

    3,-27x³+8

    =-(3x-2)(9x²+6x+4)

    4,y²(x²-2x)³﹢y²

    =y²[(x²-2x)³+1]

    =y²(x²-2x+1)(x^4-4x³+4x²+x²-2x+1)

    =y²(x-1)²(x^4-4x³+5x²-2x+1)

    5,4xy+1-4x²-y²

    =1-(4x²-4xy+y²)

    =1-(2x-y)²

    =(1+2x-y)(1-2x+y)

    6,a⁴b+a³b²-a²b²-ab⁴

    建议改成a⁴b+a³b²-a²b³-ab⁴

    =ab(a³+a²b-ab²-b³)

    =ab(a+b)(a²-b²)

    =ab(a+b)²(a-b)