"Difference" implies subtraction.
Example: The difference of 8 and 5 is 3 because 8 - 5 = 3.
To determine if a polynomial is the difference you probably have to subtract one polynomial from another and check if your answer matches a given polynomial.
To clarify the above, the polynomial should be able to be factorised into two distinct factors. For example x^2 - y^2 = (x + y)(x - y). This is the difference of two squares.
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First determine if both of the terms are squares. You can determine numerical squares by taking the square root. If the answer is a whole number, it's a square. All even numbered exponents are squares. If the sign between them indicates subtraction, you have a "difference of squares."
Two primes whose squares have a difference of 42 are 7and 11.
It is: (3x-4)(3x+4) is the difference of two squares
The difference.
Every odd number greater than one is the difference of two squares. This includes all the odd prime numbers. To find the two numbers whose difference of squares equals a particular odd number, divide the odd number by 2. The two numbers are the integers immediately below and above that dividend. For example, 17 is the difference of two squares. Divide 17 by 2 and get 8.5. The two numbers are 8 and 9. 92 - 82 = 81 - 64 = 17.
(x + 3)(x - 3)