因式分解:(x+y)(x+y)(x+y) 计算:999的立方+3×999的平方+3×999+1
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  • (x+y)(x+y)(x+y)

    =(x+y)[x(x+y)+y(x+y)]

    =(x+y)(x²+xy+xy+y²)

    =(x+y)(x²+2xy+y²)

    =x(x²+2xy+y²)+y(x²+2xy+y²)

    =x³+2x²y+xy²+x²y+2xy²+y³

    =x³+3x²y+3xy²+y³

    999³+3×999²+3×999+1

    =(999+1)(999+1)(999+1)

    =1000×1000×1000

    =1000000000

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