已知m^2+9n^2+6m+6n+10=0,求(m^2-6mn+9n^2)/(m-3n)-(4m^2-9n^2)/(2m
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已知m^2+9n^2+6m+6n+10=0,求(m^2-6mn+9n^2)/(m-3n)-(4m^2-9n^2)/(2m-3n)
m^2+9n^2+6m+6n+10=0
m^2+6m+9+9n^2+6n+1=0
(m+3)^2+(3n+1)^2=0
(m+3)^2=0,(3n+1)^2=0
m=-3
n=-1/3
(m^2-6mn+9n^2)/(m-3n)-(4m^2-9n^2)/(2m-3n)
=(m-3n)^2/(m-3n)-(2m-3n)(2m+3n)/(2m-3n)
=m-3n-(2m+3n)
=m-3n-2m-3n
=-m-6n
=-(-3)-6*(-1/3)
=3+2
=5
m^2+6m+9+9n^2+6n+1=0
(m+3)^2+(3n+1)^2=0
(m+3)^2=0,(3n+1)^2=0
m=-3
n=-1/3
(m^2-6mn+9n^2)/(m-3n)-(4m^2-9n^2)/(2m-3n)
=(m-3n)^2/(m-3n)-(2m-3n)(2m+3n)/(2m-3n)
=m-3n-(2m+3n)
=m-3n-2m-3n
=-m-6n
=-(-3)-6*(-1/3)
=3+2
=5
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