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If a = 2012, b = 2011, c =2010 then the value of a^2 + b^2 + c^2- ab- bc -  ca is? - Quora
If a = 2012, b = 2011, c =2010 then the value of a^2 + b^2 + c^2- ab- bc - ca is? - Quora

If a^2 + b^2 + c^2 - ab - bc - ca = 0 , prove that a = b = c .
If a^2 + b^2 + c^2 - ab - bc - ca = 0 , prove that a = b = c .

If a^2+b^2+c^2=16 and a b+b c+c a=10 , find the value of a+b+c
If a^2+b^2+c^2=16 and a b+b c+c a=10 , find the value of a+b+c

If a+b+c = 5 and a^2+b^2+c^2 = 13; find ab+bc+ac
If a+b+c = 5 and a^2+b^2+c^2 = 13; find ab+bc+ac

Simplify: `(a^2 - (b-c)^2)/((a+c)^2 - b^2) + (b^2 - (a-c)^2)/((a+b)^2 - c^2)  + (c^2 - (a-b)^2)... - YouTube
Simplify: `(a^2 - (b-c)^2)/((a+c)^2 - b^2) + (b^2 - (a-c)^2)/((a+b)^2 - c^2) + (c^2 - (a-b)^2)... - YouTube

i) If a^(2)+b^(2)+c^(2)=20 " and" a+b+c=0, " find " ab+bc+ac. (ii) If a^(2)+ b^(2)+c^(2)=250 " and" ab+bc+ca=3, " find" a+b+c. (iii) If a+b+c=11 and ab+ bc+ca=25, then find the value of a^(3)+b^(3)+c^(3)-3 abc.
i) If a^(2)+b^(2)+c^(2)=20 " and" a+b+c=0, " find " ab+bc+ac. (ii) If a^(2)+ b^(2)+c^(2)=250 " and" ab+bc+ca=3, " find" a+b+c. (iii) If a+b+c=11 and ab+ bc+ca=25, then find the value of a^(3)+b^(3)+c^(3)-3 abc.

Using properties of determinants, prove that |(a,b,c)(a2,b2,c2)(bc,ca,ca)|  = (a-b)(b-c)(c-a)(ab+bc+ca) - Sarthaks eConnect | Largest Online Education  Community
Using properties of determinants, prove that |(a,b,c)(a2,b2,c2)(bc,ca,ca)| = (a-b)(b-c)(c-a)(ab+bc+ca) - Sarthaks eConnect | Largest Online Education Community

a^2 ab ac | ba - b^2 bc | ca cb - c^2 = 2a^2b^2c^2
a^2 ab ac | ba - b^2 bc | ca cb - c^2 = 2a^2b^2c^2

matrices - Prove that the determinant is $(a-b)(b-c)(c-a)(a^2 + b^2 + c^2  )$ - Mathematics Stack Exchange
matrices - Prove that the determinant is $(a-b)(b-c)(c-a)(a^2 + b^2 + c^2 )$ - Mathematics Stack Exchange

Quadratic Equation- Session1 - ppt video online download
Quadratic Equation- Session1 - ppt video online download

CBSE Class 10 Answered
CBSE Class 10 Answered

radicals - Use the Cauchy-Schwarz Inequality to prove that $a^2+b^2+c^2 \ge  ab+ac+bc $ for all positive $a,b,c$. - Mathematics Stack Exchange
radicals - Use the Cauchy-Schwarz Inequality to prove that $a^2+b^2+c^2 \ge ab+ac+bc $ for all positive $a,b,c$. - Mathematics Stack Exchange

A Square Plus B Square Plus C Square Formula - Examples | a^2 + b^2 + c^2  Formula
A Square Plus B Square Plus C Square Formula - Examples | a^2 + b^2 + c^2 Formula

Solved Let a, b and c be integers Prove the following: | Chegg.com
Solved Let a, b and c be integers Prove the following: | Chegg.com

a-b)^3 + (b-c)^3 + (c-a)^3=?` (a)`(a+b+c)(a^2+b^2+c^2-ab-bc-ac)` (b)`3(a-b)( b-c)(c-a)` (c)`( - YouTube
a-b)^3 + (b-c)^3 + (c-a)^3=?` (a)`(a+b+c)(a^2+b^2+c^2-ab-bc-ac)` (b)`3(a-b)( b-c)(c-a)` (c)`( - YouTube

Prove the following identities –|(-bc,b^2+bc,c^2+bc)(a^2+ac,-ac,c^2+ac)(a^2+ ab,b^2+ab,-ab)| = (ab + bc + ca)^3 ​ - Sarthaks eConnect | Largest Online  Education Community
Prove the following identities –|(-bc,b^2+bc,c^2+bc)(a^2+ac,-ac,c^2+ac)(a^2+ ab,b^2+ab,-ab)| = (ab + bc + ca)^3 ​ - Sarthaks eConnect | Largest Online Education Community

a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ac)
a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ac)

ab + bc + ca does not exceed aa + bb + cc
ab + bc + ca does not exceed aa + bb + cc

prove that a^2 + b^2 + c^2 -ab -bc - ca is always non negative for all  values of a, - Maths - Polynomials - 1213071 | Meritnation.com
prove that a^2 + b^2 + c^2 -ab -bc - ca is always non negative for all values of a, - Maths - Polynomials - 1213071 | Meritnation.com

If a2 + b2 + c2 = 24 and ab + bc + ca = -4, then finda+b+c​ - Brainly.in
If a2 + b2 + c2 = 24 and ab + bc + ca = -4, then finda+b+c​ - Brainly.in

Solved please be able to follow the comment: prove that for | Chegg.com
Solved please be able to follow the comment: prove that for | Chegg.com

If `a+b+c=9` and `ab+bc+ca=26` , find the value of `a^2+b^2+c^2`. - YouTube
If `a+b+c=9` and `ab+bc+ca=26` , find the value of `a^2+b^2+c^2`. - YouTube

if a+b+c=8, a2+b2+c2=30,find the value of ab+bc+ca - Maths - Polynomials -  4662937 | Meritnation.com
if a+b+c=8, a2+b2+c2=30,find the value of ab+bc+ca - Maths - Polynomials - 4662937 | Meritnation.com

If ( a + b + c ) = 15 and ( ac + bc + ca ) = 74 , find the value of (a^2+b^2 +c^2)
If ( a + b + c ) = 15 and ( ac + bc + ca ) = 74 , find the value of (a^2+b^2 +c^2)

If a^2+b^2+c^2+ab+bc+ca<=0 AA a, b, c in R then find the value of the  determinant |[(a+b+2)^2, a^2+b^2, 1] , [1, (b+c+2)^2, b^2+c^2] , [c^2+a^2,  1, (c+a+2)^2]| : (A) abc(a^2 + b^2 +c^2) (
If a^2+b^2+c^2+ab+bc+ca<=0 AA a, b, c in R then find the value of the determinant |[(a+b+2)^2, a^2+b^2, 1] , [1, (b+c+2)^2, b^2+c^2] , [c^2+a^2, 1, (c+a+2)^2]| : (A) abc(a^2 + b^2 +c^2) (