刘飞翔
花朵
共回答了17个问题采纳率:82.4% 举报
据题意得
x^2-y^2=z^2
(x+y)(x-y)=z^2
x^2=y^2+z^2
y^2=x^2-z^2
原式=(x-y)(x^2+xy+y^2)-(x-y)(x+y)z
=(x-y)[x^2+xy+y^2-z(x+y)]
=(x-y)(x^2+xy+y^2-xz-zy)
=(x-y)(x^2+2xy+y^2-xz-xy-zy)
=(x-y)[(x+y)^2-z(x+y)-xy]
.
=(x-z)(x-y)(2x-z+y)
1年前
3