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这道题怎么分解因式的?求详解
2个回答
展开全部
原式=2(3x^4-2x^2-1)-7x^2(x-1)
=2(3x^2+1)(x^2-1)-7x^2(x-1)
=(6x^2+2)(x-1)(x+1)-7x^2(x-1)
=(x-1)[(6x^2+2)(x+1)-7x^2]
=(x-1)[6x^3+6x^2+2x+2-7x^2]
=(x-1)(6x^3-x^2+2x+2)
=(x-1)(2x+1)(3x^2-2x+2)
=2(3x^2+1)(x^2-1)-7x^2(x-1)
=(6x^2+2)(x-1)(x+1)-7x^2(x-1)
=(x-1)[(6x^2+2)(x+1)-7x^2]
=(x-1)[6x^3+6x^2+2x+2-7x^2]
=(x-1)(6x^3-x^2+2x+2)
=(x-1)(2x+1)(3x^2-2x+2)
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