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2(xx+6x+1)(xx+6x+1)+5(xx+1)(xx+6x+1)+2(xx+1)(xx+1)(xx是平方)分解以上因式..

题目详情
2(xx+6x+1)(xx+6x+1)+5(xx+1)(xx+6x+1)+2(xx+1)(xx+1)(xx是平方) 分解以上因式..
▼优质解答
答案和解析
2(xx+6x+1)(xx+6x+1)+5(xx+1)(xx+6x+1)+2(xx+1)(xx+1)=[2(x^2+6x+1)+(x^2+1)][(x^2+6x+1)+2(x^2+1)]=(3x^2+12x+3)(3x^2+6x+3)=9(x^2+4x+1)(x^2+2x+1)=9(x^2+4x+1)(x+1)^2