3(x^2-1)^2+18(1-x^2)+27因式分解

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3(x^2-1)^2+18(1-x^2)+27因式分解
3(x^2-1)^2+18(1-x^2)+27因式分解

3(x^2-1)^2+18(1-x^2)+27因式分解
=3[(x^2-1)^2 -6(x^2-1)+9]
=3(x^2-1-3)^2
=3(x+2)^2 (x-2)^2

这个式子的最后结果中仍带有x^2和x^4
解法如下:
3(x^2-1)^2+18(1-x^2)+27
=3(x^4-2x^2+1)+18-18x^2+27
=3x^4-6x^2+3+18-18x^2+27
=3x^4-24x^2+43
希望对你有所帮助!

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