How can I prove that a + b = c = 0?

Ayylien64

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Oct 9, 2016
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Hi. I've got an exercise and it says:

Rational numbers a, b, c satisfy the equation
(a + b +c)(a + b - c) = c2
Prove that a + b + c = 0

I don't know how to prove this. I overall don't know how to prove any equations in math. Can you help me with that?
 
Hi. I've got an exercise and it says:

Rational numbers a, b, c satisfy the equation
(a + b +c)(a + b - c) = c2
Prove that a + b + c = 0

I don't know how to prove this. I overall don't know how to prove any equations in math. Can you help me with that?
What are your thoughts?

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Rational numbers a, b, c satisfy the equation
(a + b +c)(a + b - c) = c2
Prove that a + b + c = 0

Do you know that \(\displaystyle (x+y)(x-y)=x^2-y^2~?\) Do you know the value of \(\displaystyle x\) if \(\displaystyle x^2=0~?\)
 
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