阅读下列因式分解的过程1+x+x(x+1)+x(x+1)^2=(1+x)[1+x+x(x+1)]=(1+x)^2(1+x)=(1+x)^3(1)上述分解因式的方法的_________,供应用了__________次.(2)若分解1+x+x(x+1)+x(x+1)^2+...+x(x+1)^2010则需应用上述方法_______________次,
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![阅读下列因式分解的过程1+x+x(x+1)+x(x+1)^2=(1+x)[1+x+x(x+1)]=(1+x)^2(1+x)=(1+x)^3(1)上述分解因式的方法的_________,供应用了__________次.(2)若分解1+x+x(x+1)+x(x+1)^2+...+x(x+1)^2010则需应用上述方法_______________次,](/uploads/image/z/1244445-69-5.jpg?t=%E9%98%85%E8%AF%BB%E4%B8%8B%E5%88%97%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E7%9A%84%E8%BF%87%E7%A8%8B1%2Bx%2Bx%28x%2B1%29%2Bx%28x%2B1%29%5E2%3D%281%2Bx%29%5B1%2Bx%2Bx%28x%2B1%29%5D%3D%281%2Bx%29%5E2%281%2Bx%29%3D%281%2Bx%29%5E3%281%29%E4%B8%8A%E8%BF%B0%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E7%9A%84%E6%96%B9%E6%B3%95%E7%9A%84_________%2C%E4%BE%9B%E5%BA%94%E7%94%A8%E4%BA%86__________%E6%AC%A1.%282%29%E8%8B%A5%E5%88%86%E8%A7%A31%2Bx%2Bx%28x%2B1%29%2Bx%28x%2B1%29%5E2%2B...%2Bx%28x%2B1%29%5E2010%E5%88%99%E9%9C%80%E5%BA%94%E7%94%A8%E4%B8%8A%E8%BF%B0%E6%96%B9%E6%B3%95_______________%E6%AC%A1%2C)
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