prove that (x-y)^2 not equal to (x^2-y^2)
To prove that (x - y)^2 is not equal to (x^2 - y^2), we can provide a counterexample.
Let's consider x = 3 and y = 2.
Using these values, we have (x - y)^2 = (3 - 2)^2 = (1)^2 = 1.
Also, (x^2 - y^2) = (3^2 - 2^2) = (9 - 4) = 5.
Therefore, (x - y)^2 is not equal to (x^2 - y^2) since 1 is not equal to 5.
Hence, we have proved that (x - y)^2 is not equal to (x^2 - y^2) for some values of x and y.