Difference of Two Squares Binomials

Which binomials are a difference (subtraction) of two squares?
I. 6a²-25
II. 4x²+16
III. b²-9
IV. 49y²-64

• I only

• III only

• III and IV

• II, III, and IV

Which binomials are a difference of two squares?
I. 81 - c²          II. 64g²  -h²
III. 25y² + 1   IV. 36n² - 27m⁴

• I & III

• I only

• I & II

• I, II, & IV

Determine if 16h² - 9a² is the difference of two squares and if it is, what are those factors?

• The expression is not a difference of squares. It is prime. 

• No, its not. The factors are
  (4h + 3a)²

• Yes it is. The factors are
   (4h + 3a) (4h - 3a)

Factor Completely:
x² - 36

• (x + 9)(x - 4)

• (x - 6)(x - 6)

• (x - 9)(x + 4)

• (x + 6)(x - 6)

Multiply: (x + 6)(x - 6)

• x² + 37

• 2x - 36

• 2x + 36

• x² - 36

(x - 3 ) (x + 3)

• x² - 6x + 9

• x² - 9x + 6

• x² - 12x - 6

• x² - 9

(u-5v)(u+5v)

• u²-25v²

• u²+25v²

• u²-10uv+25v²

• u²+10uv+25v²

(x + 4)(x - 4)

• x² -16

• x² +16

• x² - 8x -16

• x² - 8x +16

Simplify.

(8a - 7b)(8a + 7b)

• 64a² - 49b²

• 64a² + 49b²

• 64a² -112ab - 49b²

• 64a² +112ab + 49b²

Simplify.

(8q - 20)(8q + 20)

• 64q² - 320 - 400

• 64q² + 320 - 400

• 64q² - 400

• 64q² + 400