问题
解答题
(1)化简:(x+3y)2+(2x+y)(x-y).
(2)分解因式:x3-2x2y+xy2.
答案
(1)原式=x2+6xy+9y2+(2x+y)(x-y)
=x2+6xy+9y2+2x2-2xy+xy-y2
=3x2+5xy+8y2;
(2)原式=x(x2-2xy+y2)=x(x-y)2.
(1)化简:(x+3y)2+(2x+y)(x-y).
(2)分解因式:x3-2x2y+xy2.
(1)原式=x2+6xy+9y2+(2x+y)(x-y)
=x2+6xy+9y2+2x2-2xy+xy-y2
=3x2+5xy+8y2;
(2)原式=x(x2-2xy+y2)=x(x-y)2.