Input two numbers to instantly compute their sum of squares and difference of squares.
Let \( x \) and \( y \) represent the two numbers. To calculate their sum of squares and difference of squares, follow these formulas:
The sum of squares is the sum of the squares of the two numbers: \( \text{Sum of Squares} = x^2 + y^2 \)
The difference of squares is the difference between the squares of the two numbers: \( \text{Difference of Squares} = x^2 - y^2 \)
Solution:
Sum of Squares:
\( 10^2 + 50^2 = 100 + 2500 = 2600 \)
Difference of Squares:
\( 10^2 - 50^2 = 100 - 2500 = -2400 \)
Result: The sum of squares is 2600, and the difference of squares is -2400.
Solution:
Sum of Squares:
\( 66^2 + 88^2 = 4356 + 7744 = 12100 \)
Difference of Squares:
\( 66^2 - 88^2 = 4356 - 7744 = -3388 \)
Result: The sum of squares is 12100, and the difference of squares is -3388.