因式分解x^4-10x^2+9=(x^2)^2-6x^2+9-4x^2=(x^2-3)^2-4x^2=(x^2-3+2x)(x^2-3x-2x)这样做为什么不对,而原式等于(x²-1)(x²-9)=(x+1)(x-1)(x-3)(x+3)是对的
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![因式分解x^4-10x^2+9=(x^2)^2-6x^2+9-4x^2=(x^2-3)^2-4x^2=(x^2-3+2x)(x^2-3x-2x)这样做为什么不对,而原式等于(x²-1)(x²-9)=(x+1)(x-1)(x-3)(x+3)是对的](/uploads/image/z/1742346-18-6.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3x%5E4-10x%5E2%2B9%3D%EF%BC%88x%5E2%29%5E2-6x%5E2%2B9-4x%5E2%3D%28x%5E2-3%29%5E2-4x%5E2%3D%28x%5E2-3%2B2x%29%28x%5E2-3x-2x%29%E8%BF%99%E6%A0%B7%E5%81%9A%E4%B8%BA%E4%BB%80%E4%B9%88%E4%B8%8D%E5%AF%B9%2C%E8%80%8C%E5%8E%9F%E5%BC%8F%E7%AD%89%E4%BA%8E%EF%BC%88x%26%23178%3B-1%29%28x%26%23178%3B-9%29%3D%28x%2B1%29%28x-1%29%28x-3%29%28x%2B3%29%E6%98%AF%E5%AF%B9%E7%9A%84)
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因式分解x^4-10x^2+9=(x^2)^2-6x^2+9-4x^2=(x^2-3)^2-4x^2=(x^2-3+2x)(x^2-3x-2x)这样做为什么不对,而原式等于(x²-1)(x²-9)=(x+1)(x-1)(x-3)(x+3)是对的
因式分解x^4-10x^2+9=(x^2)^2-6x^2+9-4x^2=(x^2-3)^2-4x^2=(x^2-3+2x)(x^2-3x-2x)
这样做为什么不对,而原式等于(x²-1)(x²-9)=(x+1)(x-1)(x-3)(x+3)是对的
因式分解x^4-10x^2+9=(x^2)^2-6x^2+9-4x^2=(x^2-3)^2-4x^2=(x^2-3+2x)(x^2-3x-2x)这样做为什么不对,而原式等于(x²-1)(x²-9)=(x+1)(x-1)(x-3)(x+3)是对的
因为你算的结果还能分解
(x^2-3+2x)(x^2-3x+2)
=(x+3)(x-1)(x-1)(x-3)
=[(x-1)(x-3)]^2
不完全对,你没有彻底因式分解,还需要在一步分解才算正确。因式分解一定要分解到不能再分解为止,