问题
选择题
若xn-yn可以分解为(x+y)(x-y)(x2+xy+y2)(x2-xy+y2),那么n=( )
A.2
B.4
C.6
D.8
答案
(x+y)(x-y)(x2+xy+y2)(x2-xy+y2)
=(x3+y3)(x3-y3)
=x6-y6.
所以n的值为6.
故选C.
若xn-yn可以分解为(x+y)(x-y)(x2+xy+y2)(x2-xy+y2),那么n=( )
A.2
B.4
C.6
D.8
(x+y)(x-y)(x2+xy+y2)(x2-xy+y2)
=(x3+y3)(x3-y3)
=x6-y6.
所以n的值为6.
故选C.