0
a2 + b2 + c2 - ab - bc - ca = 0
=> 2a2 + 2b2 + 2c2 - 2ab - 2bc - 2ca = 0
Rearranging,
a2 - 2ab + b2 + b2 - 2bc + c2 + c2 - 2ca + a2 = 0
=> (a2 - 2ab + b2) + (b2 - 2bc + c2) + (c2 - 2ca + a2) = 0
or (a - b)2 + (b - c)2 + (c - a)2 = 0
so a - b = 0, b - c = 0 and c - a = 0 (since each square is >=0)
that is, a = b = c
What else can I help you with?
What is the property that says ab plus c equals ab plus ac?
associative property
If you know that AB plus B equals C what is the conclusion?
C minus B equals AB
What is the algebraic expression for the square of the sum of two numbers equals the sum of their squares plus twice their product?
Equation, not expression. A and B are two numbers. (A + B)2 = A2 + B2 + 2(AB) ----------------------------------
A plus B equals AB plus energy is an example of?
An exothermic chemical reaction.
A squared plus 2ab plus b squared?
= (a + b)2 or (a + b)(a + b) (a + b)(a + b) using the FOIL method yields: [multiplying {First Outer Inner Last} and summing the products] = a.a + a.b + b.a + b.b = a2 + ab + ab + b2 = a2 + 2ab + b2
What does a2 plus ab equals h2 mean?
It is an expression and a term that are of equal value
If 2 plus 3 equals 10and 7 plus 2 equals 63and 6 plus 5 equals 66and 8 plus 4 equals 96 then 9 plus 7 equals?
144 Formula: c= (a2)+(ab)
How do you solve a to the 3rd power plus b to the 3rd power divided by a plus b?
(a3 + b3)/(a + b) = (a + b)*(a2 - ab + b2)/(a + b) = (a2 - ab + b2)
If ab plus bc equals ac then ac equals ab plus bc?
yes because ab plus bc is ac
Ab plus bc equals bc plus ab what property is this?
Commutativity.
What property of equality is if ab plus cd equals ef plus cd then ab equals ef?
The existence of the additive inverse (of ab).
What is the property that says ab plus c equals ab plus ac?
associative property
If ac plus cb equals ab and ac equals cb then the point c is?
the midpoint of AB.
If you know that AB plus B equals C what is the conclusion?
C minus B equals AB
How do you prove that In a quadrilateral ABCD prove that AB plus BC plus CD plus DA 2( AC plus BD )?
You cannot prove it since it is not true for a general quadrilateral.
What is the formula of a cube plus b cube?
This is the formula: (a3)+(b3)=(a+b)(a2-ab+b2)
What does ab equals 1a plus 1B plus ab equal to?
ab=1a+1b a is equal to either 0 or two, and b is equal to a
