问题
解答题
分解因式:
(1)4x3y+4x2y2+xy3;
(2)9x3-25xy2;
(3)-3x+6x2-3x3.
答案
(1)4x3y+4x2y2+xy3,
=xy(4x2+4xy+y2),
=xy(2x+y)2;
(2)9x3-25xy2,
=x(9x2-25y2),
=x(3x-5y)(3x+5y);
(3)-3x+6x2-3x3,
=-3x(1-2x+x2),
=-3x(1-x)2.
分解因式:
(1)4x3y+4x2y2+xy3;
(2)9x3-25xy2;
(3)-3x+6x2-3x3.
(1)4x3y+4x2y2+xy3,
=xy(4x2+4xy+y2),
=xy(2x+y)2;
(2)9x3-25xy2,
=x(9x2-25y2),
=x(3x-5y)(3x+5y);
(3)-3x+6x2-3x3,
=-3x(1-2x+x2),
=-3x(1-x)2.