Các câu hỏi tương tự
Cho x,y,z la 3 so khac 0 va x+y+z=0. Tinh gia tri bieu thuc:
(xy/x^2+y^2-z^2) + ( xz/x^2+z^2-yy^2) + (yz/y^2+z^2-x^2)
phân tích a)(x-y)3+(y-z)3+(z-x)3
b)x.(y2-z2)+y.(z2-x2)+z.(x2-y2)
c)xy.(x-y)-xz.(x+z)-yz.(zx-y+z)
d)x.(y+z)2+y.(z-x)2+z.(x+y)2-4xyz
Cho x,y,z thỏa mãn: z2 + 2(xy- xz-yz)=0 và x+y#z; y#z
CMR: \(\frac{x^2+\left(x+2y-z\right)^2}{y^2+\left(2x+y-z\right)^2}\) =\(\frac{x+2y-z}{2x+y-z}\)
cho bieu thuc M=\(\frac{xy-3x-y+4}{xy-2x-2y+4}\)+\(\frac{yz-3y-z+4}{yz-2y-2z+4}\)+\(\frac{zx-3z-x+4}{zx-2z-2x+4}\)
chung minh GT cua bieu thuc M luon la 1 so nguyen voi x khac 2 va y khac 2
Cho x+y+z=0. Chung minh rằng (2011x/xy+2011x+2011) +(y/yz+y+2011) +(z/xz+z+1) =1 b, cho x, y thỏa mãn đẳng thức 5x^2+5y^2+8xy-2x+2y+2=0 Tính giá trị của M=(x+y) ^2015+(x-2)^2016+(y+1) ^2017
ho ba so x y z thoa man x + y +z =3. gia tri lon nhat cua bieu thuc p= xy +yz+ xz
cho cac so thuc x,y,z thoa man 0<a<hoac=x,y,z < hoac=b . tim gia tri lon nhat cua bieu thuc
T= I ab-xy I / (x+y)x + I bc-yz I / (y+z)x + Ica-zxI / (z+x)y
ai lam duoc cau nay minh cong nhan la gioi
Cho x + y + z khác 0 ; x = y + z . Chứng minh rằng :
\(\frac{\left(xy+yz+zx\right)^2-\left(x^2y^2+y^2z^2+z^2x^2\right)}{x^2+y^2+z^2}:\frac{\left(x+y+z\right)^2}{x^2+y^2+z^2}=yz\)
c) C x(y2 +z2)+y(z2 +x2)+z(x2 +y2)+2xyz.
d) D x3(y−z)+y3(z−x)+z3(x−y).
e) E (x+y)(x2 −y2)+(y+z)(y2 −z2)+(z+x)(z2 −x2).
b) x2 +2x−24 0.
d) 3x(x+4)−x2 −4x 0.
f) (x−1)(x−3)(x+5)(x+7)−297 0.
(2x−1)2 −(x+3)2 0.
c) x3 −x2 +x+3 0.
e) (x2 +x+1)(x2 +x)−2 0.
a) A x2(y−2z)+y2(z−x)+2z2(x−y)+xyz.
b) B x(y3 +z3)+y(z3 +x3)+z(x3 +y3)+xyz(x+y+z). c) C x(y2 −z2)−y(z2 −x2)+z(x2 −y2).
Đọc tiếp
c) C = x(y2 +z2)+y(z2 +x2)+z(x2 +y2)+2xyz.
d) D = x3(y−z)+y3(z−x)+z3(x−y).
e) E = (x+y)(x2 −y2)+(y+z)(y2 −z2)+(z+x)(z2 −x2).
b) x2 +2x−24 = 0.
d) 3x(x+4)−x2 −4x = 0.
f) (x−1)(x−3)(x+5)(x+7)−297 = 0.
(2x−1)2 −(x+3)2 = 0.
c) x3 −x2 +x+3 = 0.
e) (x2 +x+1)(x2 +x)−2 = 0.
a) A = x2(y−2z)+y2(z−x)+2z2(x−y)+xyz.
b) B = x(y3 +z3)+y(z3 +x3)+z(x3 +y3)+xyz(x+y+z). c) C = x(y2 −z2)−y(z2 −x2)+z(x2 −y2).