Ta có : (a + b - c)2 + (a - b + c)2 - 2(b - c)2
= a² + b² + c² + 2ab - 2bc - 2ca + a² + b² + c² + 2ca - 2ab - 2bc - 2(b2 - 2bc + c2)
= a² + b² + c² + 2ab - 2bc - 2ca + a² + b² + c² + 2ca - 2ab - 2bc - b2 + 2bc - c2
= 2a2 + b2 + c2 - 2bc
Ta có : (a + b - c)2 + (a - b + c)2 - 2(b - c)2
= a² + b² + c² + 2ab - 2bc - 2ca + a² + b² + c² + 2ca - 2ab - 2bc - 2(b2 - 2bc + c2)
= a² + b² + c² + 2ab - 2bc - 2ca + a² + b² + c² + 2ca - 2ab - 2bc - b2 + 2bc - c2
= 2a2 + b2 + c2 - 2bc
Rut gon bieu thuc: (a-b+c)^2+2(a-b+c)(b-c)+(b-c)^2
rut gon bieu thuc
(a+b-c)2+(a-b+c)2-2(b-c)2
rut gon bieu thuc
(a+b-c)2+(a-b-c)2+(b-c-a)2+(c-b-a)2
rut gon bieu thuc
(a+b)\(^2\)+(b+c)\(^2\)+(c+a)\(^2\)-3(a+b)(b+c)(c+a)
cho a,b,c khac nhau doi mot va 1/a+1/b+1/c=0.rut gon cac bieu thuc
N=bc/a^2+2bc+CA/B^2+2AC+AB/C^2+2AB
rut gon bieu thuc sau:
(a2+b2+c2)-(a2+b2+c2)2
giai dum minh bai nay voi :c=x/2x-2+x^2+1/2-2x^2
a)tim x de a co nghia
b)rut gon bieu thuc c
c)tim gia tri cua x de bieu thuc kia =1/2
giúp mình cảm ơn nhìu nha !
B1: rut gon bieu thuc
a, (x+y)^2-4(x-y)^2
b, 2(x-y)(x+y)+(x+y)^2+(x-y)^2
B2: tim X
a, (2X-1)^2-4(X+2)^2=9
b, 3(X-1)^2-3X(X-5)=21
B3: Cho bieu thuc
M=(x+3)^3-(x-1)^3+12x(x-1)
a, Rut gon bieu thuc tren
b, Tinh gia tri M tai x=-2/3
c, Tim x de M=16
cho 2 bieu thuc A=x+x^2/2-x va B=2x/x+1+3/x-2-2x^2+1/x^2-x-2 a, tinh gia tri cua A khi /2x-3/=1 b,tim dieu kien xac dinh va rut gon bieu thuc B c,tim so nguyen x de P=A.B dat gia tri lon nhat
mk dang can gap