Determine the Formula for a2+b2+c2

Formula for a² + b² + c²

The expression a² + b² + c² is the sum of the squares of three variables, a, b, and c. The formula itself is simply:

Depending on the context, you can express a² + b² + c² in different ways. Here are a few useful formulas:

1. In terms of (a + b + c)²:

2. In terms of pairwise differences:

3. If a, b, c are roots of a cubic equation:

If a, b, c are roots of x³ + px² + qx + r = 0:

• a + b + c = −p
• ab + bc + ca = q

4. Geometric Interpretation:

If a, b, c are the coordinates of a point in 3D space, a² + b² + c² is the square of the distance from the origin to that point.

If you have a specific context or values for a, b, c, let me know for a more tailored formula!