Find the value of `z` when `a=6,b=2,c=5` `z=(c)-(b)+(a)+(a)*(b)`

Find the maximum value of xyz when (x)/(a)+(y^(2))/(b^(2))+(z^(3))/(c^(3))=1(a,b,c,x,y,z>0)

If a=z_1+z_2+z_3, b=z_1+omega z_2+omega^2z_3,c=z_1+omega^2z_2+omegaz_3(1,omega, omega^2 are cube roots of unity), then the value of z_2 in terms of a,b, and c is (A) (aomega^2+bomega+c)/3 (B) (aomega^2+bomega^2+c)/3 (C) (a+b+c)/3 (D) (a+bomega^2+comega)/3

[" The mean of "A,B,C,D,..X,Y,Z(26" terms ")" is a.Find the value "],[" of "],[(A-a)+(B-a)+(C-a)+(D-a).....(X-a)+(Y-a)+(Z-a)]

If x= b+c, y=c+a, z=a+b , then find the value of (x^2 + y^2 + z^2 -yz - zx-xy)/( a^(2) + b^(2) + c^(2) - bc - ca - ab)

If x+a=y+b+1=z+c then the value of [[x, (a+y), (a+x)], [y, (b+y), (b+y)], [z, (c+y), (c+z)]] is

Express Delta as a product to two deteminants and then find its value. Delta=|{:((a-x)^2,(b-x)^2,(c-x)^2),((a-y)^2,(b-y)^2,(c-y)^2),((a-z)^2,(b-z)^2,(c-z)^2):}|

If x=(a//b) + (b//a), y = (b//c) + (c//b) and z=(c//a) + (a//c) , then what is the value of xyz-x^2-y^2-z^2 ? यदि x=(a//b) + (b//a), y = (b//c) + (c//b) तथा z=(c//a) + (a//c) , है, तो xyz-x^2-y^2-z^2 का मान क्या है?