(2x 3n)²(2m-3n)²

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计算(m+n)^3-(n+m)(m-n)^2

(m+n)^3-(n+m)(m-n)^2=(m+n)[(m+n)^2-(m-n)^2]=(m+n)[(m+n+m-n)(m+n-m+n)]=(m+n)(2m+2n)=2(m+n)^2

分解因式:(1)-2x5n-1yn+4x3n-1yn+2-2xn-1yn+4;(2)x3-8y3-z3-6xyz;(3)

(1)原式=-2xn-1yn(x4n-2x2ny2+y4)=-2xn-1yn[(x2n)2-2x2ny2+(y2)2]=-2xn-1yn(x2n-y2)2=-2xn-1yn(xn-y)2(xn+y)2

(2m+3n)(2m-3n)-(3m-2n)(3m+2n)

(2m+3n)(2m-3n)-(3m-2n)(3m+2n)=(4m²-9n²)-(9m²-4n²)=4m²-9n²-9m²+4n&

已知n为正整数且(xn次方)2次方=9,求(x3n次方)2次方-3(x2次方)2n次方

x^2n=9,(x^3n)^2=x^6n=(x^2n)^3=9^3=729,3(x^2)^2n=3x^4n=3(x^2n)^2=3X9^2=243729-243=486

若n为正整数,且x2n=3,则(3x3n)2的值为______.

(3x3n)2=9x3×2n=9(x2n)3=9×33=243.

已知n为正整数,且x2n=4,求9(x3n)2-13(x2)2n的值.

∵x2n=4,∴9(x3n)2-13(x2)2n,=9(x2n)3-13(x2n)2,=9×43-13×42,=368.故答案为:368.

已知n是正整数,且x3n=2,求(3x3n)3+(-2x2n)3的值.

原式=27(x3n)3-8(x3n)2=27×8-8×4=184.

巳知n是正整数,且x2n=2,求(3x3n)2-4(x2)3n的值.

∵x2n=2,∴(3x3n)2-4(x2)3n=8•(x2n)3-4(x2n)3=4(x2n)3=4×23=4×8=32.

(n-m)^3×(m-n)^2-(m-n)^5

(n-m)^3×(m-n)^2-(m-n)^5=-(m-n)^3*(m-n)^2-(m-n)^5=-(m-n)^5-(m-n)^5=-2(m-n)^5

(3m-2n)^+(3m+2n) (3m-2n)-9(m+n)^

(3m-2n)²+(3m+2n)(3m-2n)-9(m+n)²=(3m-2n)²-9(m+n)²+(3m+2n)(3m-2n)=(3m-2n+3m+3n)(3m

若n为正整数,且x2n=2,试求(-3x3n)2-4(-x2)2n的值.

原式=9x6n-4x4n=9(x2n)3-4(x2n)2,当x2n=2时,原式=9×23-16=56.

[(m-n)^2*(m-n)^3]^2/(m-n)^4

设m-n为a(a^2*a^3)^2/a^4=a^6即(m-n)^6

因式分解(n-m)^3(m-n)^2-(m-n)^5

解原式=-(m-n)³(m-n)²-(m-n)^5=-(m-n)^5-(m-n)^5=-2(m-n)^5

(2m+3n)(3m-2n)-(3m-2n)(3m+2n)

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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

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)

若n为正整数,且x2n=7,则(3x3n)2-4(x2)2n的值为(  )

(3x3n)2-4(x2)2n=9(x2n)3-4(x2n)2=9×73-4×72=2891.故选C.

已知xn=5,yn=3,求:(1)(x2y)2n;(2)x3n÷y4n.

(1)∵xn=5,yn=3,∴(x2y)2n=x4ny2n=(xn)4(yn)2=54×32=5625;(2)∵xn=5,yn=3,∴x3n÷y4n=(xn)3÷(yn)4=53÷34=12581.

3m(m-n)-2n(m-n)的平方

3m(m-n)-2n(m-n)²=(m-n)(3m-2mn+2n²)