问题 解答题

(1)化简:(x+3y)2+(2x+y)(x-y)

(2)分解因式:x3-2x2y+xy2

(3)先化简,再求值.(2xy3+x2y2-5x2y3)÷(-xy2),其中x=1,y=-3.

答案

(1)原式=x2+6xy+9y2+2x2-2xy+xy-y2=3x2+5xy+8y2

(2)原式=x(x2-2xy+y2)=x(x-y)2

(3)原式=-2y-x+5xy,

当x=1,y=-3时,原式=6-1-15=-10.

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