已知a b=6,ab=3,求a^2 b^2和(a-b)^2的值
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ab(a^2b^5-ab^3-b)=a^3b^6-a^2b^4-ab^2=(ab^2)^3-(ab^2)^2-ab^2=6³-6²-6=216-36-6=174
这类题目,直接特值作业!取A=1==>B=5/2==>直接代入得19/4特值法是考试利器,需特别注意,适用范围很广当要注意条件限制!
(3a-4b-ab)-(a-2b+3ab)=3a-4b-ab-a+2b-3ab=2a-2b-4ab=2(a-b)-4ab=2×(-1)-4×(-2)(将a-b=-1,ab=-2代入)=-2+8=6
ab^2=-2-ab(a^2b^5-ab^3-b)=-a^3b^6+a^2b^4+ab^2=-(ab^2)^3+(ab^2)^2+ab^2=-(-2)^3+(-2)^2+(-2)=8+4-2=10
-ab*(a^2b^5-ab^3-b)=-a^3b^6+a^2b^4+ab^2=-(ab^2)^3+(ab^2)^2+ab^2=-(-6)^3+(-6)^2+6=216+36+6=258
ab^2=-6所以-ab(a^2*b^5-ab^3-b)=-a^3b^6+a^2b^4+ab^2=-(ab^2)^3+(ab^2)^2+(ab^2)=-(-6)^3+(-6)^2+(-6)=216+3
ab(36b-6b-b)=29ab^2=(30-1)*6=174
ab(ab^3+a^2b^5-b)=ab²(ab²+a²b^4-1)=6*(6+6²-1)=6*41=246
ab+2ab+ab=ab(a+2ab+b)∵a+b=2/3,ab=2,∴原式=2×(2/3+2×2)=28/3爱执着
ab+2ab+ab=ab(a+2ab+b)∵a+b=2/3,ab=2,∴原式=2×(2/3+2×2)=28/3
a^2b+ab^2=ab(a+b)=21(a+b)^2=7^2a^2+b^2+2ab=49a^2+b^2=49-6=43
(5ab+4a+7b)+(6a-3ab)-(4ab-3b)=5ab+4a+7b+6a-3ab-4ab+3b=-2ab+10a+10b=-2ab+10(a+b)∵a+b=17,ab=10∴原式=-2×1
明显a=2b=-1,代入.
2a^2b+ab^2-3a^b+5ab-2ab^2-3ab=-a^2b-ab^2+2ab=-ab(a+b)+2ab=-10×1+2×10=10
-ab(a²b^5-ab³-b)=-ab(36b-b-6b)=-ab*29b=-29*6=-174
(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
ab/(a+b)=3,a+b=ab/3原式=[3(a+b)+ab]/[2(a+b)-ab]=[3(ab/3)+ab]/[2(ab/3)-ab]=2ab/(-ab/3)=-6