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.
若(am+1bn+2)•(a2n-1b2m)=a5b3,则m+n的值为( )
A.1
B.2
C.3
D.-3
(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.