（x+2)(x+4)(x+6)(x+12)+3x^2 因式分解

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/25 07:48:55

（x+2)(x+4)(x+6)(x+12)+3x^2
=（x+2)(x+12)(x+4)(x+6)+3x^2
=（x^2+14x+24)(x^2+10x+24)+3x^2
=[(x^2+10x+24)+4x](x^2+10x+24)+3x^2
=(x^2+10x+24)^2+4x(x^2+10x+24)+3x^2
=(x^2+10x+24+3x)(x^2+10x+24+x)
=(x^2+13x+24)(x^2+11x+24)

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