(x^m÷x^2n)^3÷x^m-n与1/2x^2是同类项 且2m+5n=7 求4m^2-25n^2的值
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(x^m÷x^2n)^3÷x^m-n与1/2x^2是同类项且2m+5n=7求4m^2-25n^2的值(x^m÷x^2n)^3÷x^m-n与1/2x^2是同类项且2m+5n=7求4m^2-25n^2的值
(x^m÷x^2n)^3÷x^m-n与1/2x^2是同类项 且2m+5n=7 求4m^2-25n^2的值
(x^m÷x^2n)^3÷x^m-n与1/2x^2是同类项 且2m+5n=7 求4m^2-25n^2的值
(x^m÷x^2n)^3÷x^m-n与1/2x^2是同类项 且2m+5n=7 求4m^2-25n^2的值
(x^m÷x^2n)^3÷x^(m-n)
=x^(3m-6n)÷x^(m-n)
=x^(2m-5n)
∵与1/2x^2是同类项
∴2m-5n=2
∵2m+5n=7
∴4m^2-25n^2
=(2m+5n)(2m-5n)
=7×2
=14
如果没有猜错,你的题目的前一项应该为(x^m÷x^2n)^3÷x^(m-n)。它与1/2x^2是同类项,那么可以化简为X^[(m-2n)*3-(m-n)]=X^(2m-5n).依题意,2m-5n=2.而且2m+5n=7.可求得m=9/4,n=1/2.带入4m^2-25n^2=14.
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