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Determine whether the polynomial is a difference of squares and if it is, factor it.
y2 − 25
A. Is not a difference of squares
B. Is a difference of squares: (y − 5)2
C. Is a difference of squares: (y + 5)(y − 5)
D. Is a difference of squares: (y + 5)2



Answer :

the answer is C
    y² - 25
= y² - 5²
 =  (y + 5)(y - 5) which is a difference of two squares

Answer:

Option: C is the correct answer.

C.   Is a difference of squares: (y + 5)(y − 5).

Step-by-step explanation:

We are given a polynomial expression in terms of the variable y as follows:

                        [tex]y^2-25[/tex]

Now this expression could also be written as:

[tex]y^2-25=y^2-5^2[/tex]

This means that the expression is a difference of squares.

Also, we know that:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Here,

[tex]a=y\ and\ b=5[/tex]

Hence,

[tex]y^2-25=(y+5)(y-5)[/tex]

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