Which of the following must be true for and expression to be a difference of two squares?
a. both coefficients are perfect squares.
b. there are only two terms.
c. both terms have negative coefficients.

Respuesta :

options a and b.

A difference of two squares means that both numbers in the equation have to be square numbers. There will never be a difference of two squares with more than two terms, hence the name "difference of TWO squares."
For example: one difference of two squares is:
x^2-16. You can evenly take the square root of both x^2 and 16, getting results of x and 4.

The correct options are:

(A)Both coefficient are perfect squares.

(B)There are only two terms.

Step-by-step explanation:

A difference of two square means the both numbers in the given equation has to be the square numbers.

Hence , the difference of two squares with more then two terms will never be there.

Now, if the example is taken as the expression [tex]x^2-64[/tex], Here we can take the square of both the term easily and separately.

Hence, the correct options are:

(A)Both coefficient are perfect squares.

(B)There are only two terms.

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