The relationship in the previous question involves the difference of squares pattern, which applies to polynomials of the form:
a^2 - b^2
where a and b are any real numbers.
If we replace a with x and b with 2, the equation would look like:
x^2 - 2^2 = (x + 2)(x - 2)
This means that any polynomial of the form x^2 - 4 can be factored using the difference of squares pattern.
As for creating our own replacement of a and b, let's say we replace a with y and b with 3. Then the equation would look like:
y^2 - 3^2 = (y + 3)(y - 3)
This means that any polynomial of the form y^2 - 9 can be factored using the difference of squares pattern.