因式分解(x^2+3x+2)(x^2+7x+12)-120

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因式分解(x^2+3x+2)(x^2+7x+12)-120
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因式分解(x^2+3x+2)(x^2+7x+12)-120
因式分解(x^2+3x+2)(x^2+7x+12)-120

因式分解(x^2+3x+2)(x^2+7x+12)-120
(x^2+3x+2)(x^2+7x+12)-120
=(x+1)(x+2)(x+3)(x+4)-120
=(x+1)(x+4)*(x+2)(x+3)-120
=[x^2+5x+4]*[x^2+5x+6]-120
=(x^2+5x)^2+10(x^2+5x)+24-120
=(x^2+5x)^2+10(x^2+5x)-96
=(x^2+5x+16)(x^2+5x-6)
=(x^2+5x+16)(x+6)(x-1)

x^4 + 10 x^3 + 35x^2 + 50x - 96