因式分解(x+1)(3x+1)(5x-1)(7x-1)+63x^4

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因式分解(x+1)(3x+1)(5x-1)(7x-1)+63x^4
因式分解(x+1)(3x+1)(5x-1)(7x-1)+63x^4

因式分解(x+1)(3x+1)(5x-1)(7x-1)+63x^4
(x+1)(3x+1)(5x-1)(7x-1)+63x^4
=[(3x+1)(7x-1)][(5x-1)(x+1)]+63x^4
=[(4x-1)+21x^2][(4x-1)+5x^2]+63x^4
=(4x-1)^2+26(x^2)(4x-1)+168x^4
=[(4x-1)+12x^2][(4x-1)+14x^2]
=(12x^2+4x-1)(14x^2+4x-1)

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