2m 3n=19,3m-2n=16

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2m 3n=19,3m-2n=16
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﹣3xy的n+1次方与5x的m+3,y四次方是同类项求3n四次方-6m3n-4n四次方+2nm3次方的值

已知﹣3xy的n+1次方与5x的m+3y四次方是同类项则1=m+3n+1=4解得m=-2n=3所以3n四次方-6m3n-4n四次方+2nm3次方=-n^4-4m^3n=-3^4-4*(-2)^3*3=

因式分解:m3n-9mn=______.

原式=mn(m2-9)=mn(m+3)(m-3).故答案为:mn(m+3)(m-3)

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

若m-n=1,3m+2n=-2求代数式3m(m-n)-2n(n-m)的值

1.若m-n=1,3m+2n=-2求代数式3m(m-n)-2n(n-m)的值:∵m-n=1∴n-m=-1将m-n=1,n-m=-1代入3m(m-n)-2n(n-m)得3m(m-n)-2n(n-m)=3

m(m+n)(m-n)-m(m+n)的平方,其中m+n=1,mn=-1/2

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

集合M={X=3m+1,m∈N*},N={y/y=5n+2,n∈N*},则M∩N=?

3m=5n+13m-6n=-n+1n=3(2n-m)+1=3(2n-m+1)-2所以可令n=3k+1或者3k-2.

(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

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)/(

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)+(

m,n,(2m-1)/n,(2n-1)/m为正整数,m,n>=2.求m,n

设m=ta,n=tb=>tb|(2ta-1)=>t|(2ta-1)=>t|1=>t=1所以m,n互素2m=un+1,2n=vm+1相减得(2+v)*m=(2+u)*n由于m,n互素所以m=2+u,n=

先化简,在求值(m+n)(m-n)(-m^2-n^2)-(-2m+n)(-2m-n)(4m^2+n^2) 其中m=1,n

=(m^2-n^2)(-m^2-n^2)-(4m^2-n^2)(4m^2+n^2)=-(m^4-n^4)-(16m^4-n^4)=-(1^4-(-2)^4)-(16*1^4-(-2)^4)=15

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