"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.
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)
(F-G)(F+G) The difference of two squares.
This expression is the difference of squares. It can be factored to (9 - 7n4)(9 + 7n4)
The only difference is that a binomial has two terms and a polynomial has three or more terms.
The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.
Closure
How can you have 0 as the difference of two squares? 5^2-5^2?
The formula to factor the difference of two squares, a2 - b2, is (a + b)(a - b).
The property that states the difference of two polynomials is always a polynomial is known as the closure property of polynomials. This property indicates that when you subtract one polynomial from another, the result remains within the set of polynomials. This is because polynomial operations (addition, subtraction, and multiplication) preserve the degree and structure of polynomials. Thus, the difference of any two polynomials will also be a polynomial.
Two primes whose squares have a difference of 42 are 7and 11.
It is: (3x-4)(3x+4) is the difference of two squares
It is x^2 -4 = (x-2)(x+2) when factored and it is the difference of two squares
You can factor a polynomial using one of these steps: 1. Factor out the greatest common monomial factor. 2. Look for a difference of two squares or a perfect square trinomial. 3. Factor polynomials in the form ax^2+bx+c into a product of binomials. 4. Factor a polynomial with 4 terms by grouping.