问题
解答题
把下列各式因式分
(1)2xy2+4x2;
(2)x2+6xy+9y2;
(3)x2-y2+2y-1(分组分解法);
(4)a2+4a+3(“十”字相乘法).
答案
(1)2xy2+4x2=2x(y+2x);
(2)x2+6xy+9y2=(x+3y)2;
(3)x2-y2+2y-1
=x2-(y2-2y+1)
=x2-(y-1)2
=(y-1+x)(x-y+1);
(4)a2+4a+3=(a+1)(a+3).