设M=13a(a+1)(a+2),N=13a(a−1)(a+1),那么M-N等于(  ) A.a2+a B.(a+1)(a+2) C.13a2+13a D.13(a+1)(a+2)

问题描述:

M=

1
3
a(a+1)(a+2),N=
1
3
a(a−1)(a+1),那么M-N等于(  )
A. a2+a
B. (a+1)(a+2)
C.
1
3
a2+
1
3
a

D.
1
3
(a+1)(a+2)

M-N=

1
3
a(a+1)(a+2)-
1
3
a(a-1)(a+1)
=
1
3
a(a+1)[a+2-(a-1)]
=a2+a.
故选:A.