यदि `a=x+y,b=x-y,c=x+2y` है तो `a^(2)+b^(2)+c^(2)-ab-bc-ca=?`

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 a+b+c = 0, then ((2a^2)/(3bc)+ (2b^2)/(3ca)+(2c^2)/(3ab)) is equal to: यदि a+b+c = 0 है, तो ((2a^2)/(3bc)+ (2b^2)/(3ca)+(2c^2)/(3ab)) बराबर है :

a,b,c are three positive numbers, such that, (a+b+c) = 20, a^2 +b^2+c^2=152 . The value of (ab+bc+ca) is equal to दिया गया है कि a, b और c धनात्मक वास्तविक संख्याए है | यदि (a+b+c) = 20 है , a^2 +b^2+c^2=152 है, तो (ab+bc+ca) का मान किसके बराबर है ?

If a+b=z, c+a=y, b+c=x, x^(2)+y^(2)+z^(2)=50 and xy+yz+zx=47 then find the value of a^(2)+b^(2)+c^(2)+ab+bc+ca .

If ab+bc+ca=8 and a+b+c=12 then (a^2+b^2+c^2) is equal to: यदि ab+bc+ca=8 तथा a+b+c=12 है, तो (a^2+b^2+c^2) का मान ज्ञात करें |

Let a, b and c are the roots of the equation x^(3)-7x^(2)+9x-13=0 and A and B are two matrices given by A=[(a,b,c),(b,c,a),(c,a,b)] and B=[(bc-a^(2),ca-b^(2),ab-c^(2)),(ca-b^(2),ab-c^(2),bc-a^(2)),(ab-c^(2),bc-a^(2),ca-b^(2))] , then the value |A||B| is equal to