问题 选择题

若(am+1bn+2)•(a2n-1b2m)=a5b3,则m+n的值为(  )

A.1

B.2

C.3

D.-3

答案

(am+1bn+2)•(a2n-1b2m),

=am+1+2n-1•bn+2+2m

=am+2n•bn+2m+2

=a5b3

m+2n=5
n+2m+2=3

两式相加,得3m+3n=6,

解得m+n=2.

故选B.

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