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The word "difference" implies subtraction. The word "squares" implies a perfect square term or number.
To recognize the "difference of squares" look for 2 perfect square terms, one being subtracted from the other.
Ex.
x2 - 16. "x" is being squared and 16 is a perfect square. They are being subtracted.
Factors: (x+4)(x-4)
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What is the difference of the squares of two primes is 72 what are these two primes?
Two primes whose squares have a difference of 42 are 7and 11.
What binomial multiplied by (3x-4) gives a difference of two squares?
It is: (3x-4)(3x+4) is the difference of two squares
The product of the sum and difference of two terms is equal to the what of the squares of the terms?
The difference.
Can you express every odd prime number as the difference of two squares?
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.
How do you determine if a polynomial is the difference of two squares?
"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.
