Question

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

8TH GRADE MATH*************

Answer 1

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:

`a ^ 2 - b ^ 2 = (a + b) (a - b)`
We then have the following expression:

`y^ 2-225`
Rewriting we have:

`y^ 2-15 ^ 2`
Using the definition, we have to:

`y ^ 2-15 ^ 2 = (y-15) * (y + 15)`
Answer:
B: is a difference of squares: (y-15)(y+15)