> 数学 >
x4-2y4-2x3y+xy3
为什么不能这样算?
原式=x3(x-2y)-y3(2y-x)
=x3(x-2y)+y3(x-2y)
=(x-2y)(x3+y3)
另外:x3-y3的公式是?
人气:283 ℃ 时间:2020-04-30 09:12:10
解答
原式=x3(x-2y)-y3(2y-x)
=x3(x-2y)+y3(x-2y)
=(x-2y)(x3+y3)
=(x-2y)(x+y)(x2-xy+y2)
x3-y3=(x-y)(x2+xy+y2)
x3+y3=(x+y)(x2-xy+y2)
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