In mathematics, the equation a^2 + b^2 represents the sum of the squares of two variables, a and b. This is a polynomial expression where a and b are treated as variables.
The expression a^2 + b^2 is often used in various mathematical contexts, including geometry, physics, and algebra.
In geometry, a^2 + b^2 appears as the formula for the square of the length of the hypotenuse in a right-angled triangle (the Pythagorean theorem). Given the lengths of the two shorter sides (a and b), the equation a^2 + b^2 = c^2 calculates the length of the hypotenuse (c).
In physics, specifically for vector quantities, a^2 + b^2 is often used in equations related to magnitudes and sums of squares, such as the displacement, velocity, and acceleration of objects.
In algebra, a^2 + b^2 is a common expression encountered when simplifying or factoring quadratic equations. It is a fundamental building block in mathematical formulas and identities.
About c which is a^2+b^2
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