几道数学代数因式分解题1.1.1/2x²-8ax+-查字典问答网
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  几道数学代数因式分解题1.1.1/2x²-8ax+32a²2.x²(x²-y²)+z²(y²-x²)3.5a²b(x-y)³-30ab²(y-x)²

  几道数学代数因式分解题

  1.1.1/2x²-8ax+32a²

  2.x²(x²-y²)+z²(y²-x²)

  3.5a²b(x-y)³-30ab²(y-x)²

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2020-01-2622:14
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李树华

  1.1/2x²-8ax+32a²

  =1/2(x²-16ax+64a²)

  =1/2(x-8a)²

  2.x²(x²-y²)+z²(y²-x²)

  =x²(x²-y²)-z²(x²-y²)

  =(x²-y²)(x²-z²)

  =(x+y)(x-y)(x+z)(x-z)

  3.5a²b(x-y)³-30ab²(y-x)²

  =5a²b(x-y)³-30ab²(x-y)²

  =5ab(x-y)²[a(x-y)-6b]

  =5ab(x-y)²(ax-ay-2b)

2020-01-26 22:17:32
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