问题
计算题
因式分解:
(1)27xy2-18x3y
(2)9x2-25y2
(3)25x2-20xy+4y2
(4)4x4-4x3+x2.
答案
解:(1)27xy2-18x3y=9xy(3y-2x2);
(2)9x2-25y2=(3x+5y)(3x-5y);
(3)25x2-20xy+4y2=(5x-2y)2;
(4)4x4-4x3+x2=x2(4x2-4x+1)=x2(2x-1)2.
因式分解:
(1)27xy2-18x3y
(2)9x2-25y2
(3)25x2-20xy+4y2
(4)4x4-4x3+x2.
解:(1)27xy2-18x3y=9xy(3y-2x2);
(2)9x2-25y2=(3x+5y)(3x-5y);
(3)25x2-20xy+4y2=(5x-2y)2;
(4)4x4-4x3+x2=x2(4x2-4x+1)=x2(2x-1)2.