化简a2−2ab b22a−2b÷(1b-1a)=_____
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∵a2+b2=2a-2b-2∴a2+b2-2a+2b+2=0即(a2-2a+1)+(b2+2b+1)=0∴(a-1)2+(b+1)2=0又∵(a-1)2≥0,(b+1)2≥0∴a-1=0,b+1=0故
原式=6a2-4ab-9ab+6b2+4a2-4ab+b2+8a3b6÷83a3b4,=10a2-17ab+7b2+3b2,=10a2-17ab+10b2,=10(a2+b2)-17ab.当a2+b2
∵3a2+ab-2b2=(3a-2b)(a+b)=0,∴3a-2b=0或a+b=0,解得:a=23b或a=-b,则ab-ba-a2+b2ab=a2−b2−a2−b2ab=−2b2ab=-2ba,当a=
原式=(a+b)(a-b)÷(a+b)+(a-b)2÷(a-b)=(a-b)+(a-b)=2(a-b),当a=12,b=-2时,原式=2×[12-(-2)]=1+4=5.
证明:(a1+a2+2a3,a1+2a2+a3,2a1+a2+a3)=(a1,a2,a3)K其中K=112121211所以B组可由A组线性表示.又因为|K|=-4≠0,所以K可逆.所以(a1,a2,a
根号(a2-3a+1)+b2+2b+1=0,则a^2-3a+1=0且b^2+2b+1=0所以a+1/a=3,b=-1a^2+1/a^2=(a+1/a)^2-2=7a^2+1/a^2-绝对值b=6
2a-3b/b2-a2-a+3b/a2-b2+a+2b/a2-b2=(-2a+3b-a+3b+a+2b)/(a^2-b^2)=(-2a+8b)/(a^2-b^2)=-2(a-4b)/(a^2-b^2)
∵a2+ab-2b2=0,∴(a2-b2)+(ab-b2)=0,∴(a+b)(a-b)+b(a-b)=0,∴(a-b)(a+2b)=0,∴a-b=0或a+2b=0,∴a=b或a=-2b.当a=b时,原
∵a2-3a+1=0,∴a2-3a=-1,a+1a=3,1+a2=3a,∴4a2-9a-2+91+a2,=4(a2-3a)+93a+3a-2,=4×(-1)+3(1a+a)-2,=-4+3×3-2,=
原式可化为a2+4a+4+b2-2b+1=0,即(a+2)2+(b-1)2=0,解得,a=-2,b=1.故a+ba−b=−2+1−2−1=13.故选B.
∵A=4a2+5b,B=-3a2-2b,∴2A-B=2(4a2+5b)-(-3a2-2b)=8a2+10b+3a2+2b=11a2+12b.
(a2-b2)/ab-(a2+b2)/ab=-2b2/ab=-2b/a两边都除以b2得a2/b2+a/b=2(a/b+1/2)2=9/4得a/b=1a/b=-2所以原式得-21
a2+b2+a-2b+54=0可化为a2+a+14+b2-2b+1=0,即(a+12)2+(b-1)2=0,于是a=-12,b=1.故a−ba+b=−12−1−12+1=-3.
a²-b²+2b-1=a²-(b²-2b+1)=a²-(b-1)²=(a-b+1)(a+b-1)
(a^2-2ab)/(-ab+b^2)÷a^2/(a-b)÷2ab/(2b-a)=a(a-2b)/[-b(a-b)]÷a^2/(a-b)÷[-2ab/(a-2b)]=a(a-2b)/[b(a-b)]÷
因为a2+ab=3(1),b2+ab=-2(2)1、所以1式+2式得a^2+2ab+b^2=(a+b)^2=1a2+2ab+b=(a+b)^2=12、1式-2式得a^2-b^2=5
C=(a1+2a2,2a2+3a4,a4+3a1)=(a1,a2,a4)KK=103220031所以40=|C|=|a1,a2,a4||K|=20|a1,a2,a4|所以|a1,a2,a4|=2.|A
(a²-b²)²-2(a²+b²)(a+b)²=[(a-b)(a+b)]²-2(a²+b²)(a+b)
1.|a1+a1,a2-a2|=|2a1,0|=02.A*A+5A-4E=0(A-3E)^2+11A-13E=0(A-3E)^2+11(A-3E)+20E=0(A-3E)[(A-3E)+11E]=-2
原式=5a2-[a2+5a2-2a-2a2+6a]=5a2-[4a2+4a]=5a2-4a2-4a=a2-4a.