Answer:
The correct answer option is: it is a difference of squares: (y – 15)(y + 15)
Step-by-step explanation:
We are given a polynomial and we are to determine if it is a difference of squares.
Let us recall the algebraic formulas which include:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](a+b)(a-b)=a^2-b^2[/tex]
So if we look closely, we can conclude that the given polynomial observes the third formula of the perfect squares.
Hence, we can say that it is a difference of squares: (y – 15)(y + 15)
[tex]y^2-225 = (y-15)(y+15)[/tex]
