Instructions: Determine if the polynomial represents a Difference of Squares or Perfect Square Trinomial.x2+16x+64

The given polynomial is x^2 + 16x + 64.

Step 1: Identify the three terms in the polynomial. They are x^2, 16x, and 64.

Step 2: Check if the first term (x^2) is a perfect square. In this case, it is because the square root of x^2 is x.

Step 3: Check if the third term (64) is a perfect square. In this case, it is because the square root of 64 is 8.

Step 4: Check if the middle term (16x) is twice the product of the square roots of the first and third terms. The square roots of the first and third terms are x and 8, respectively. Twice their product is 2x8 = 16x.

Since all these conditions are met, the polynomial x^2 + 16x + 64 is a Perfect Square Trinomial.