jendafudilsasandra
Answered

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

a. all variables are raised to an even power
b. there are only two terms
c. both terms have negative coefficients

A. a, b, and c
B. b and c
C. a and b
D. a and c

Answer :

scme1702
C.
An example of this is:
a² - b²
Where both terms have an even power and there are only two terms. 

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: [tex]x^{2}-25[/tex]

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

Upon factoring we get [tex](x+5)(x-5)[/tex].

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.

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