M方减6M等于4,N方减6n等于4,求M方减N方-搜答案-搜搜做题作业网

m^2-n^2=6m-n=3故m^2-n^2=(m+n)(m-n)m+n=2

m^2-m=1n^2-n=1可变为m^2-m-1=0n^2-n-1=0说明m,n分别是x^2-x-1=0的两个根m+n=1,mn=-1m^3+n^3=(m+n)(m^2-mn+n^2)=(m+n)[(

m^2=n+2n^2=m+2相减：m^2-n^2=n-m(m-n)(n+m)=n-m当m≠n时,m+n=-1m^3+n^3-2mn=m*m^2+n*n^2-2mn=m(n+2)+n(m+2)-2mn=

mn²=-6-mn(m的平方n的五次方减mn的三次方减n)=-mn[(mn²)²*n-(mn²)*n-n]=-mn[(-6)²*n-(-6)*n-n]

已知m^2-n^2=mn求m^2/n^2+n^2/m^2通分得m^4+n^4/m^2n^2而m^4+n^4=m^4-2m^2n^2+n^4+2m^2n^2=(m^2-n^2)^2-2m^2n^2=(m

4（m+n)方-9（m-n）方=[2(m+n)]^2-[3(m-n)]^2=[2(m+n)+3(m-n)][2(m+n)-3(m-n)]=(5m-n)(-m+5n)

设方程x方减x减1等于0,则m、n应是方程的两个解.所以m+n=1,m×n=-1.m三次方+n三次方=（m+n)（m方-mn+n方）=1×（（m+n）方-3mn）=1+3=4

m方加n方等于

m方加n方可以等于任意数!随便可以取任意数.希望采纳哦!再问：公式再答：m^2+n^2=(m+n)^2-2mn希望采纳吧！

2m2+4n2-4n+1994=2(1+2m)+4(1+2n)-4n+1994=4(m+n)+2000m,n是x2-2x-1=0的两个实根故m+n=2故原式=4*2+2000=2008

依题意得:：把等式两边同时乘以2,得2m²+2n²+2mn+2m-2n+2=0∴(m²+n²+2mn)+（m²+2m+1)+（n²-2n+1

(x^n)^2=6^2x^2n=36x^m=9x^9=2所以原式=x^m÷x^2n×x^9=9÷36×2=1/2

=m²-（25m²-9n²）+6（2m²+3mn-2n²）=m²-25m²+9n²+12m²+18mn-12n

∵m²+n²=6n-4m-13∴m²+4m+n²-6n+13=0(m²+4m+4)+(n²-6n+9)=0(m+2)²+(n-3)

不是求N吗?N=4X^2-5X+3-3M=4X^2-5X+3-3(X^3-2X^2+5X-6)=4X^2-5X+3-3X^3+6X^2-15X+18=-3X^3+10X^2-20X+21.

4m的三次方n减5mn的三次方=mn(4m²-5n²)

m³-n³=m³-m²n+m²n-mn²+mn²-n³=m²(m-n)+mn(m-n)+n²(m-n

原式=(m-n)(m-n)²[-(m-n)³](m-n)^4=-(m-n)^(1+2+3+4)=-(m-n)^10

因为m^2=n+4,n^2=m+4所以m^2-n^2=（n+4）-(m+4)=n-m即(m-n)(m+n)=-(m-n)m+n=-1m^3-2mn+n^3=m·m^2-2mn+n·n^2=m(n+2)

n=（a^4-4b²）/m=(a²+2b)(a²-2b)/(a²+2b)=a²-2bm+n=a²+2b+a²-2b=2a²

(m+n-3)^2