jendafudilsasandra
Answered

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

Aall variables are raised to an even power
Bthere are only two terms
Cboth terms have negative coefficients

Aa, b, and c
Bb and c
Ca and b
Da and c

Verified 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: \(x^{2}-25\)

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.

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