已知(5-M)(5-N)(5-P)(5-Q)=4,求M N P Q

应该是10吧

(m+n分之m)+(m-n分之m)-(m方-n方,分之n方)=m(m-n)/(m^2-n^2)+m(m+n)/(m^2-n^2)-n^2/(m^2-n^2)=(m^2-mn+m^2+mn-n^2)/(

此题先通分,通过计算可得m^2+m^2-n^2/m^2-n^2=1+m^2/m^2-n^2=1+25/16=41/16

（m\m+n）+（m\m-n）-(n＠\m＠-n＠）=m(m-n)/(m+n)(m-n)+m(m+n)/(m+n)(m-n)-n^2/(m+n)(m-n)=(m^2-mn+m^2+mn-n^2)/(m

m/(m+n)+m/(m-n)-n^2/(m^2-n^2)=m(m-n)/(m+n)(m-n)+m(m+n)/(m-n)(m+n)-n^2/(m^2-n^2)=（m(m-n)+m(m+n)）/(m^2

∵n分之m=3分之5∴n=3m/5(m+n分之m)+(m-n分之m)-(m方-n方,分之n方)=m/(m+n)+m/(m-n)-n²/(m²-n²)=(m²-m

由且（5+2）m+（3-25）n+7=0，得5（m-2n）+2m+3n+7=0，∵m、n是有理数，∴m-2n、2m+2n+7必为有理数，又∵5是无理数，∴当且仅当m-2n=0、2m+3n+7=0时，等

m/(m+n)+m/(m-n)-n²/((m²-n²)=(m²-mn+m²+mn-n²)/(m²-n²)=(2m&sup

解题思路：给出的算式中，除式和被除式相同，那么商为1解题过程：解：

"m/(m+n)+m/(m-n)-n^2/(m^2-n^2)=(m/n)/(1+m/n)+(m/n)/(-1+m/n)-1/((m/n)^2-1)=(5/3)/(1+5/3)+(5/3)/(5/3-1

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

原式=m/(mn)m/(m-n)-n^2/(m^2-n^2)=(m^2-mnm^2mn)/(m^2-n^2)-n^2/(m^2-n^2)=(2m^2-n^2)/(m^2-n^2)因为m/n=5/3,所

原式=m/(m+n)+m/(m-n)-n^2/(m^2-n^2)=(m^2-mn+m^2+mn)/(m^2-n^2)-n^2/(m^2-n^2)=(2m^2-n^2)/(m^2-n^2)因为m/n=5

由m/n=5/3,得m=5n/3原式={(m-n)/(m-n)*(m+n)+(m+n)/(m-n)*(m+n)}*n-n平方/(m-n)*(m+n)=2mn/(m平方-n平方）-n平方/(m平方-n平

∵mn+3m+5n=70∴(m+5)(n+3)=85∵85=5X17=1X85∵m.n是正整数∴(m+5)和(n+3)只能取5和17∵m+5>5,n+3>3∴m+5=17,n+3=5∴m=12,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)

2m=5nn=2m/5则把n带入所求的式子得答案7/5~~~~很简单的,我没有仔细算,过程对的,答案你再算一遍楼下的不对~~很明显是n/m-m/(m-n)你认为如果是m/m的话有必要写上去么~

解m/n=1/5∴n=5m∴(m+n)/(m-n)=(m+5m)/(m-5m)=6m/(-4m)=-3/2

由m/n=5/3,得m=5n/3原式={(m-n)/(m-n)*(m+n)+(m+n)/(m-n)*(m+n)}*n-n平方/(m-n)*(m+n)=2mn/(m平方-n平方）-n平方/(m平方-n平

m-3n/m=8/5则5(m-3n)=8m5m-15n=8m-15n=3mm=-5n则n/(m+n)=n/(-5n+n)=n/(-4n)=-1/4