Question

Using complete sentences, compare and contrast the ways to factor the "sum of two squares" and the "difference of two squares." Provide an explanation and example of each, including any similarities and differences.

Answer 1

I'm going to guess:
Sum of two squares is:
\[n = a^2 + b^2\]
Difference of two squares is:
\[n = a^2 - b^2\]
Similarities of sum of squares and difference of squares is that both are binary operation. Difference between the two is that sum of two squares will always be grater than difference of two squares. What I mean is that if a and b are both equal zero, then the sum would not be greater than the difference.