Question

Which of the following must be true for an expression to be a difference of two squares?

Answer 1

Answer:

C is the correct option.

Step-by-step explanation:

The true statements are :

a. all variables are raised to an even power

b. there are only two terms.

Here, we will take the example of: $x^{2}-25$

This equation consists of two perfect squares, $x^{2}$ and $5^{2}$. The variables are raised to even power (2) and also the equation has 2 terms.

Upon factoring we get $(x+5)(x-5)$.

Therefore, we can say that the difference of two squares means that both terms of the equation should be square numbers. This is not possible for more than 2 terms.

Answer 2

C.
An example of this is:
a² - b²
Where both terms have an even power and there are only two terms.