问题
填空题
分解因式:x2(x+y)+2xy(x+y)+y2(x+y)=______.
答案
x2(x+y)+2xy(x+y)+y2(x+y)
=(x+y)(x2+2xy+y2)
=(x+y)(x+y)2
=(x+y)3.
故答案为:(x+y)3.
分解因式:x2(x+y)+2xy(x+y)+y2(x+y)=______.
x2(x+y)+2xy(x+y)+y2(x+y)
=(x+y)(x2+2xy+y2)
=(x+y)(x+y)2
=(x+y)3.
故答案为:(x+y)3.