(2a b)(3a-2b)-5a

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如a-b=4,ab=1,则(2-ab+2a+5b)-(3ab+2b-2a)-(3a+4b-ab)=

(2-ab+2a+5b)-(3ab+2b-2a)-(3a+4b-ab)=2-ab+2a+5b-3ab-2b+2a-3a-4b+ab=a-b-4ab+2=4-4+2=2

已知a^2+ab+b^2|ab(a+b),求证(a-b)^3>3ab

已知正整数a>b>0满足a²+ab+b²|ab(a+b),求证(a-b)³>3ab.设a,b的最大公约数(a,b)=d,a=md,b=nd.代入条件得(m²+m

已知a-b=5,ab=-4,求代数式5a^2b(a-b)-3ab(b-a)^2+5ab^2(b-a)的值

原式=5a²b(a-b)-3ab(a-b)²-5ab²(a-b)=ab(a-b)[5a-3(a-b)-5b]=ab(a-b)(5a-3a+3b-5b)=ab(a-b)(2

(a-2b)(a^2-2ab+4b^2)-a(a-5b)(a+3b)

(a-2b)(a^2-2ab+4b^2)-a(a-5b)(a+3b)=(a-2b)(a^2-2ab-15b^2+15b^2+4b^2)-a(a-5b)(a+3b)=(a-2b)(a^2-2ab-15b

先化简再求值﹕若a-b等于5,ab等于-5,求(2a+3b-2ab)-(a+4b+ab)-(3ab-2a+2b)

(2a+3b-2ab)-(a+4b+ab)-(3ab-2a+2b)=2a+3b-2ab-a-4b-ab-3ab+2a-2b=3a-3b-5ab=3(a-b)-5ab=3x5-5x(-5)=40

已知实数a,b满足ab=-1/5,a+b=4/5,求a^2b+ab^2-a^3b^2-a^2b^3

解a²b+ab²-a³b²-a²b³=ab(a+b)-(ab)²(a+b)=-1/5×(4/5)-(-1/5)²×(4/

a+b/2ab

因为a+b≥2√(ab),则:1/(a+b)≤1/[2√(ab)],所以:2ab/(a+b)≤2ab/[2√(ab)]=√ab,即:2ab/[a+b]≤√(ab)

若a+b=3,ab=-2,求(5a-5b-ab)-(4a-6b-3ab)

(5a-5b-ab)-(4a-6b-3ab)=5a-5b-ab-4a+6b+3ab=a+b+2ab=3-2x2=-1

已知a-b=5,ab=-1,求代数式(22a+3b-2ab)-(a+4b+ab)-(3ab+2b-2a)的值.

(22a+3b-2ab)-(a+4b+ab)-(3ab+2b-2a)=22a+3b-2ab-a-4b-ab-3ab-2b+2a=23a-3b-5ab题目抄差了!(22a+3b-2ab)应该是(2a+3

已知a+b=1,ab=10,求2a^2b+ab^2-3a^b+5ab-2ab^2-3ab的值

2a^2b+ab^2-3a^b+5ab-2ab^2-3ab=-a^2b-ab^2+2ab=-ab(a+b)+2ab=-10×1+2×10=10

化简:1.3a+2b-5a-b 2.3(-ab+2a)-2(3a-ab)

1.3a+2b-5a-b=-2a+b2.3(-ab+2a)-2(3a-ab)=-3ab+6a-6a+2ab=-a

a(a-1)-(a×a-b)=-5,求(a×a+b×b)÷2-ab

由a(a-1)-(a×a-b)=-5得a^2-a-a^2+b=-5,即a-b=5,(a-b)^2=25.(a×a+b×b)÷2-ab=(a-b)^2÷2=25÷2=12.5

已知:a-b=4,ab=3,求多项式(2a+5b-3ab)-(a+6b-ab)-(2ab+2b-2a)的值

(2a+5b-3ab)-(a+6b-ab)-(2ab+2b-2a)=2a+5b-3ab-a-6b+ab-2ab-2b+2a=3a-3b-4ab=3(a-b)-4ab=12-12=0

合并同类项: -5a^b+6ab^-4ab-2a^b+4ab+3

-5a^2b+6ab^2-4ab-2a^2b+4ab+3=-5a^2b-2a^2b+6ab^2-4ab+4ab+3=(-5-2)a^2b+6ab^2+3=-7a^2b+6ab^2+36x+2x^2-3

合并同类项:-5a^b+6ab^-4ab-2a^b+4ab+3

(1)6x+2x-3x+x+1=6x+1其中x=5原式=30+1=31(2)1/3m-3/2n-5/6n-1/6m=1/6m-14/6n=6/1m-7/3n其中m=6,n=3原式=1-7=-6第二题一

已知ab/a+b=3,试求代数式2ab/a+b-5(a+b)/ab的值.

ab/a+b=3ab=3(a+b)2ab/a+b-5(a+b)/ab=6(a+b)/(a+b)-5(a+b)/3(a+b)=6-5/3=13/3

1.(4/3a^2b^2-2ab)*1/2ab 2.-2a^2*(-1/2ab+b^2)-5a*(a^2b+ab^2)

(4/3a^2b^2-2ab)*1/2ab=2/3ab-1-2a^2*(-1/2ab+b^2)-5a*(a^2b+ab^2)=a^3b-2a^2b^2-5a^3b-5a^2b^2=-4a^3b-7a^

2AB/A+B

由(√a+√b)²≥0∴a+b-2√ab≥0∴a+b≥2√ab1/(a+b)≤1/2√ab.∴2ab/a+b≤2ab/2√ab=√ab.所以2ab/a+b≤√a