a + b + c is equals to zero then a square + b square + c square divided by b square minus C A is equals to how much
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-2ac/a^2-c^2-3ac is your question's answer
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To solve this problem, we can start by using the fact that a + b + c = 0, which means that c = -a - b. We can substitute this expression for c into the numerator of the expression we want to simplify:
b² + c² + a² = b² + (-a - b)² + a²
= b² + a² + 2ab + b² + a²
= 2(a² + b² + ab)
Next, we can simplify the denominator using the same expression for c:
b² - ca = b² - b(-a - b) = b² + ab
Now, we can substitute these expressions into the original expression:
(b² + c² + a²) / (b² - ca) = [2(a² + b² + ab)] / (b² + ab)
The factor of (a² + b² + ab) cancels out, leaving:
(b² + c² + a²) / (b² - ca) = 2
Therefore, if a + b + c = 0, then (b² + c² + a²) / (b² - ca) simplifies to 2.
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