来自白鹏翔的问题
已知4m+n=40,2m-3n=5.求(m+2n)2-(3m-n)2的值.
已知4m+n=40,2m-3n=5.求(m+2n)2-(3m-n)2的值.
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2020-06-11 19:03
已知4m+n=40,2m-3n=5.求(m+2n)2-(3m-n)2的值.
已知4m+n=40,2m-3n=5.求(m+2n)2-(3m-n)2的值.
(m+2n)2-(3m-n)2
=(m+2n+3m-n)(m+2n-3m+n)
=(4m+n)(3n-2m)
=-(4m+n)(2m-3n),
当4m+n=40,2m-3n=5时,原式=-40×5=-200.