分解因式x^2(x+2)^2-7x(x+2)-8

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分解因式x^2(x+2)^2-7x(x+2)-8
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分解因式x^2(x+2)^2-7x(x+2)-8
分解因式x^2(x+2)^2-7x(x+2)-8

分解因式x^2(x+2)^2-7x(x+2)-8
x^2(x+2)^2-7x(x+2)-8
=(x²+2x)²-7(x²+2x)-8
=(x²+2x-8)(x²+2x+1)
=(x-4)(x+2)(x+1)²

  • x^2(x+2)^2-7x(x+2)-8
    =(x²+2x)²-7(x²+2x)-8
    =(x²+2x-8)(x²+2x+1)
    =(x+4)(x-2)(x+1)²

x^2(x+2)^2-7x(x+2)-8
=(x²+2x)²-7(x²+2x)-8
=(x²+2x-8)(x²+2x+1)
=(x-4)(x+2)(x+1)²