问题
解答题
先化简,再求值:
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答案
原式=
÷(m-3)2 (m+2)(m-2)
•m(m-2)-(4m-9) m-2 1 m
=
÷(m-3)2 (m+2)(m-2)
•(m-3)2 m-2 1 m
=
•(m-3)2 (m+2)(m-2)
•m-2 (m-3)2 1 m
=1 m(m+2)
=
,1 m2+2m
∵2m2+4m-1=0,
∴m2+2m=
,1 2
∴原式=
=2.1 1 2