x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5分解因式
x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5分解因式
数学人气：566 ℃时间：2019-11-10 08:47:10
优质解答
x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5 =x^5-5x^3y^2+4xy^4+12y^5-15x^2y^3+3x^4y =x(x^4-5x^2y^2+4y^4)+3y(x^4-5x^2y^2+4y^4) =(x+3y)(x^4-5x^2y^2+4y^4) =(x+3y)(x^2-4y^2)(x^2-y^2) =(x+3y)(x-2y)(x+2y)(x+y)(x...
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