因式分解 x四次方+3x三次方-6x-4

问题描述:

因式分解 x四次方+3x三次方-6x-4

x四次方+3x三次方-6x-4
=(x^4-4)+3x(x^2-2)
=(x^2-2)(x^2+2)+3x(x^2-2)
=(x^2-2)(x^2+2+3x)
=(x+1)(x+2)(x^2-2)
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