m^2+n^2+6n-2mn-6m+9 因式分解

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m^2+n^2+6n-2mn-6m+9 因式分解
m^2+n^2+6n-2mn-6m+9 因式分解

m^2+n^2+6n-2mn-6m+9 因式分解
m^2+n^2+6n-6m-2mn+9
=(m^2-2mn+n^2)-(6m-6n)+9
=(m-n)^2-6(m-n)+9
=(m-n-3)^2

m^2+n^2+6n-2mn-6m+9
=(m+n)^2-6(m+n)+9
=(m+n-3)^2

利用(a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca)
将a看做m，b看做-n，c看做-3
则
m^2+n^2+6n-2mn-6m+9
=(m-n-3)^2

=（m^2+n^2-2mn）+（6n-6m）+9
=（m-n）^2-6（m-n）+9
=（m-n-3）^2

已知mn-n=15,m-mn=6,则m-n=_,-2mn+m+n=_ 已知mn-m=15,n-mn=6则n-m=( ),-2mn+m+n=( ) mn-n=15 ; m-mn=6 那么m-n=( ) ; -2mn+m+n=( ) m-n=7 mn=-5求(3m+5n+4mn)-(2n-4n+6mn) m+2mn+2n-6n+9=0,求m / n的值 m^+2mn+2n^-6n+9是 m^+2mn+2n^-6n+9,求M和N 已知实数m,n,且m>n>0,m²+n²=4mn,则m²﹣n²/mn的值等于∵(m+n)²=m²+2mn+n²,(m-n)²=m²-2mn+n²,m²+n²=4mn.(m+n)²=6mn(m-n)²=2mn(m+n)²(m-n)²=12m²n²mm³-2m 先化简再求值,3m^2-mn/9m^2-6mn+n^2其中m=3n 计算:[-m^3n/(m-n)^2]^4*[(n^2-mn)/m]^3/m^4n^10*[(mn-n^2)/m]^6 m^2n-5mn+6n因式分解 M+N=6 MN=-7 ,那么M^2N+MN^2=? 已知m^2+n^2+2mn-6m-6n+9=0,求(m+n)^2 m^2-9n^2/m^2-5mn+6n^2,其中m=6,n=2. mn(m-n)-m(n-m)²2m(m-n)(2n-m)求过程已知MN^2=-6,求-MN(M^2N^5-MN^3-N)的值 m^2+n^2+6n-2mn-6m+9 因式分解已知m-n=2 则3m^2-6mn+3n^2-9= 计算(2m-3n)(4m^2+6mn+9n^2)