6m的立方n乘-2mn÷(4mn的的平方)

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已知m的平方等于m+n,n的平方等于m+2,求m立方+2mn+n立方的值

m^2=m+2,n^2=n+2,m≠n,∴m,n是x^2-x-2=0的两根,∴m+n=1,mn=-2,m^3+2mn+n^3=(m+n)(m^2-mn+n^2)+2mn=m^2+mn+n^2=(m+n

已知m-n=2,mn=1,求多项式(2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)的值

(2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)先去括号=2mn+2m+3n-3mn-2n+2m-m-4n-mn合并同类项=-2mn+3m-3n=-2mn+3(m-n)把m-n=2,

m的立方-2m的平方n+mn的平方-4m的平方+4mn+4m

m的立方-2m的平方n+mn的平方-4m的平方+4mn+4m=m(m^2-2mn+n^2-4m+4n+4)=m((m-n)^2-4(m-n)+4)=m(m-n-2)^2

6m的5次方n的立方÷2mn -4x的平方yz÷(-2xy)

解6m^5n³÷2mn=3m^4n²-4x²yz÷(-2xy)=2xz(4/5a³b²-2a²b³)÷(-ab)=(ab)(4/5

m+n=3,mn=3分之2,求m的3次方n-m方m方+mn立方的值

m的3次方n-m方m方+mn立方=mn(m^2-mn+n^2)=mn[(m+n)^2-3mn]=2/3*(3^2-3*2/3)=2/3*7=14/3再问:我是中学生,符号看不懂再答:m^2表示m的平方

已知m-n=4,mn=2,求多项式(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)的值.

解(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)=-2mn+2m+3n-3mn-2n+2m-m-4n-mn=-2mn-3mn-mn+2m+2m-m+3n-2n-4n=-6mn+3

(m的平方-6mn+9n的平方)÷(m-3n)-(4m的平方-9n的平方)÷(2m-3n)=

(m²-6mn+9n²)÷(m-3n)-(4m²-9n²)÷(2m-3n)=(m-3n)²÷(m-3n)-(2m-3n)(2m+3n)÷(2m-3n)

m分之N乘根号下2m的平方分之n乘(负m分之1乘根号下m的立方分之n的立方)/根号下2m的立方分之n

原式=(-n/m²)·√(n的4次幂/m的6次幂)·√(m的3次幂/n)=(-n/m²)·√[(n的4次幂/m的6次幂)·(m的3次幂/n)]=(-n/m²)·√(n&#

若m-n=4,mn=-1,求(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)的值

(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)=-2mn+2m+3n-3mn-2n+2m-m-4n-mn=(-2mn-3mn-mn)+(2m+2m-m)+(3n-2n-4n)=-

M的2N-1的平方乘M的N+1的立方

M^[(2N-1)^2]*M^[(N+1)^3]=M^[2(2N-1)]*M^[3(N+1)]=M^(4N-2)*M^(3N+3)=M^(7N+1)

64-16a+a平方 m立方n-2m平方n平方+mn立方

64-16a+a²=(8-a)²m³n-2m²n²+mn³=mn(m²-2mn+n²)=mn(m-n)²

(2/5mn立方-m平方n平方+1/6n四次方)÷2/3n平方

(2/5mn立方-m平方n平方+1/6n四次方)÷2/3n平方=2/5mn立方÷2/3n平方-m平方n平方÷2/3n平方+1/6n四次方÷2/3n平方=3/5mn-3/2m²+1/4n

已知m-n=3,mn=-1,求多项式-2mn+2m+3n-3mn-2n+2m-4n-m-mn的值

-2mn+2m+3n-3mn-2n+2m-4n-m-mn=-6mn+3m-3n=-6mn+3(m-n)=6+9=15

已知|m-n-2|与(mn-1)^互为相反数,求(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)的值

根据题意绝对值和完全平方非负所以mn-1=0m-n-2=0mn=1m-n=2(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)=-2mn+2m+3n-3mn-2n+2m-m-4n-m

m+n=5,mn=6,求1/2m的立方n+m的平方n的平方+1/2mn的立方的值

(1/2)m³n+m²n²+(1/2)mn³=[(1/2)mn](m²+2mn+n²)=mn(m+n)²/2=6×5²/

已知m的平方=n+2,n的平方=m+2(m不等于n),求m的立方+2mn+n的立方的值

解答如下m^3-2mn+n^3=m(m^2-2n)+n^3=m(2-n)+n(m+2)=2m-mn+mn+2n=2(n+m)m^2=n+2,n^2=m+2相减:(m+n)(m-n)=-(m-n)m≠n

已知m平方=n+2,n平方=m+2(m不等于n),求m立方-2mn+n立方的值解释

m^3-2mn+n^3=m(n+2)-2mn+n(m+2)=mn+2m-2mn+mn+2n=2(m+n)m^2-n^2=n+2-(m+2)=n-m(m-n)(m+n)=n-mm+n=-1原式=-2

已知m-n=3,mn=-3,求(-m-4n-mn)-(2mn-2m-3n)-(3mn+2n-2m)的值

(-m-4n-mn)-(2mn-2m-3n)-(3mn+2n-2m)=-m-4n-mn-2mn+2m+3n-3mn-2n+2m=3m-3n-6mn=3(m-n)-6mn=3×3-6×(-3)=9+18

已知m的平方等于n+2,n的平方等于m+2(m不等于n),求m的立方+2mn+n的立方

m²=n+2;n²=m+2;m²n²=mn+4+2(m+n);m²n²-mn-2=0;(mn-2)(mn+1)=0;mn=2或mn=-1;m

已知m+n=3,mn=2\3,求m的立方n-(mn)的平方+mn的立方

m+n=3两边平方m²+2mn+n²=9m²+n²=9-2mn=9-4/3=23/3原式=mn(m²+n²)-(mn)²=2/3*