what does a square + b square
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Step-by-Step Solution
Step 1: Understand the terms
The term a2 means 'a squared', which is the product of 'a' multiplied by itself. Similarly, b2 means 'b squared', which is 'b' multiplied by itself.
Step 2: Interpret the expression
The expression a2+b2 represents the sum of the square of 'a' and the square of 'b'. It is a fundamental algebraic expression.
Step 3: Recognize common applications
This expression is famously known from the Pythagorean theorem, where in a right-angled triangle, the square of the hypotenuse (c2) is equal to the sum of the squares of the other two sides (a2+b2). It also appears in the distance formula and the expansion of (a+b)2 or (a−b)2.