PLEASE HELP ASAP!!
Determine whether the polynomial is a difference of squares and if it is, factor it.
y2-225
A: is not a difference of squares
B: is a difference of squares: (y-15)(y+15)
C: is a different of squares (y-15)^2
D: is a difference of squares (y+15)^2
By definition we have to: Difference of squares of two terms is equal to the product of the sum of these terms by the difference of these terms: [tex]a ^ 2 - b ^ 2 = (a + b) (a - b)
[/tex] We then have the following expression: [tex]y^ 2-225
[/tex] Rewriting we have: [tex]y^ 2-15 ^ 2
[/tex] Using the definition, we have to: [tex]y ^ 2-15 ^ 2 = (y-15) * (y + 15)
[/tex] Answer: B: is a difference of squares: (y-15)(y+15)
