Perfect Squares and Difference of Squares Trinomials

Which of the following are in the form of difference of squares? Select all that apply.

• (x - 3)(x + 3)

• (2d - 5)(2d - 5)

• (f + 6)(f - 6)

• (k² - 10)(k² + 10)

• (y + 1)(y + 1)

x² - 9

• (x + 3) (x - 3)

• (x - 3) (x - 3)

• (x + 3) (x - 6)

• Can't factor using Diff. of Squares

Factor x² – 16.

• (x + 2)(x – 8)

• (x – 4)(x – 4)

• (x + 4)(x + 4)

• (x + 4)(x – 4)

4a² - 25

• (2a + 5) (2a - 5)

• (2a - 5) (2a - 5)

• (x + 5) (x - 5)

• Can't factor using Diff. of Squares

Fully Factor the Following
25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

16x²  -56x + 49

• (4x + 7)²

• (4x - 7)²

• (8x + 7)²

• Not a Perfect Square Trinomial

r² - 9t²

• (r + 3t) (r - 3t)

• (r - 3t) (r - 3t)

• (3r + t) (3r - t)

• Can't factor using Diff. of Squares

Factor:
 n² + 10n + 25

• (n + 5)(n - 5)

• (n + 25)(n + 1)

• (n - 5)²

• (n + 5)²

Factor

x² + 18x + 81                      

• (x + 9)(x – 9)

• (x + 18)²

• (x + 9)²

• (x + 6)²

Is this a perfect square trinomial?
x² + 14x + 49

• Yes

• No