3n-2m-1=3m-2n运用等式性质,比较m与n大小

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计算1/(m-n)-1/(m+n)-2n/(m^2+n^2)-4n^3/(m^4+n^4)-8n^7/(m^8+n^8)

一项一项通分,分母用平方差公式合并,分子进行加减,很简单就能算出来.别图省事,只要动手就能算出来的.

计算(m+n)^3-(n+m)(m-n)^2

(m+n)^3-(n+m)(m-n)^2=(m+n)[(m+n)^2-(m-n)^2]=(m+n)[(m+n+m-n)(m+n-m+n)]=(m+n)(2m+2n)=2(m+n)^2

1,已知3m=4n,则m/m+n +n/m-n -m^2/m^2-n^2=

n/m=3/4m/(m+n)=1/[1+n/m]=4/7n/(m-n)=1/[m/n-1]=3m^2/(m^2-n^2)=1/[1-n^2/m^2]=16/7所以原式=9/7当然,你可以通分来算,也能

已知m-2n=3.求[(3m+2n)(3m-2n)-(m+2n)(5m-2n)]÷1/3 m 的值.

[(3m+2n)(3m-2n)-(m+2n)(5m-2n)]÷(1/3)m=[9m²-4n²-5m²+2mn-10mn+4n²]÷(1/3)m=[4m²

(m-n)*(3m-2n+1)=?

原式=m(3m-2n+1)-n(3m-2n+1)=3m²-2mn+m-3mn+2n²-n=3m²-5mn+2n²+m-n

(n-m)^3×(m-n)^2-(m-n)^5

(n-m)^3×(m-n)^2-(m-n)^5=-(m-n)^3*(m-n)^2-(m-n)^5=-(m-n)^5-(m-n)^5=-2(m-n)^5

(5m+3n)^2-(m-3n)(25m-3n),其中m=1,n=2

答:(5m+3n)^2-(m-3n)(25m-3n),其中m=1,n=2=25m²+30mn+9n²-(25m²-3mn-75mn+9n²)=30mn+78mn

[(m-n)^2*(m-n)^3]^2/(m-n)^4

设m-n为a(a^2*a^3)^2/a^4=a^6即(m-n)^6

若(m-2n)/(2m+n)=3,则[3(m-2n)/(2m+n)-(m-2n)/[2(2m+n)] - {9(m-2n

(m-2n)/(2m+n)=3m-2n=6m+3n5m+5n=0m=-n[3(m-2n)/(2m+n)-(m-2n)/[2(2m+n)]-{9(m-2n)/[4(2m+n)]}=[3(-n-2n)/(

因式分解(n-m)^3(m-n)^2-(m-n)^5

解原式=-(m-n)³(m-n)²-(m-n)^5=-(m-n)^5-(m-n)^5=-2(m-n)^5

已知3m=2n,则m/(m+n)+n/(m-n)-n^2/(m^2-n^2)=?

m/(m+n)+n/(m-n)-n^2/(m^2-n^2)=[m(m-n)+n(m+n)-n^2]/(m^2-n^2)=m^2/(m^2-n^2)=1/(1-(n/m)^2)=1/(1-(3/2)^2

求证C(m,n-1)+C(m,n-2)+C(m,n-3)+...+C(m,m+1)+C(m,m) =C(m+1,n)

C(m+1,n)=C(m,n-1)+C(m+1,n-1)这个式子可以直接验证,也可以算两次得证.然后递推C(m+1,n)=C(m,n-1)+C(m+1,n-1)=C(m,n-1)+C(m,n-2)+C

已知m/n=5、,求(m/(m+n))+(m/(m-n))-(n^2/(m^3-n^2))

已知m=5n,则原式=(5n/(5n+n))+(5n/(5n-n))-(n^2)/(((5n)^3)-n^2)=(5/6)+(5/4)-[1/(125n-1)]=(25/12)-[1/(125n-1)

设m n为自然数,定义m*n=m+(m+1)+(m+2)+(m+3)+.(m+n)

4.5*5=4.5+(4.5+1)+(4.5+2)+(4.5+3)+(4.5+4)+4.5+5)=4.5x6+1+2+3+4+5=27+15=42m*8=37.8m*n=m+(m+1)+(m+2)+(

已知m-3n=2m+n-15=1,则m=?,n=?

根据原式可知:m-3n=1,且2m+n-15=1,将m-3n=1移项后为m=1+3n,将其代入2m+n-15=1中:2×(1+3n)+n-15=17n=14n=2m-3×2=1m=7

如果m-3n+4=0 求(m-3n)^2+7m^3-3(2m^3n-m^2n-1)+3(m^3+2m^3n-m^2n+n

既然m-3n+4=0那么m-3n肯定等于-4,再把-4带进去算就是了

3m(m-n)-2n(m-n)的平方

3m(m-n)-2n(m-n)²=(m-n)(3m-2mn+2n²)