问题标题:
因式分解:(x+y)(x^2+xy+y^2)-xy(y-x)3(x-1)^2-18(x-1)+27题目是(1)(x+y)(x^2+xy+y^2)-xy(y-x)(2)3(x-1)^2-18(x-1)+27不小心打错了
问题描述:
因式分解:(x+y)(x^2+xy+y^2)-xy(y-x)3(x-1)^2-18(x-1)+27
题目是(1)
(x+y)(x^2+xy+y^2)-xy(y-x)
(2)
3(x-1)^2-18(x-1)+27
不小心打错了
姜玉琴回答:
(x+y)(x^2+xy+y^2)-xy(y-x)=(x+y)(x^2+xy+y^2)+xy(x+y)=(x+y)(x^2+xy+y^2+xy)=(x+y)(x+y)^2=(x+y)^33(x-1)^2-18(x-1)+27=3[(x-1)^2-6(x-1)+9]=3[(x-1)-3]^2=3(x-4)^2
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