Factor a Difference of Squares

Find the factors of x² - 16. Select all that apply.

• (x - 4)(x - 4)

• (x + 8)(x - 8)

• (x - 4)(x + 4)

• (x + 4)(x - 4)

• (x - 8)(x + 8)

Find the factors of x² - 64. Select all that apply.

• (x - 32)(x + 32)

• (x + 8)(x - 8)

• (x - 4)(x + 4)

• (x - 8)(x - 8)

• (x + 4)(x - 4)

Complete the rule.

a² - b² =

• (a - b)(a - b)

• (a + b)(a + b)

• (a - b)(a + b)

• (a² - b)(a² + b)

Find the factors of d² - 25. Select all that apply.

• (d + 13)(d - 13)

• (d + 7)(d - 7)

• (d + 5)(d - 5)

• (d - 7)(d + 7)

• (d - 13)(d + 13)

Factor 9c² - 100.

• (c - 10)(c + 10)

• (3c - 10)(3c + 10)

• (9c + 100)(9c - 100)

• (9c - 10)(9c + 10)

Factor 81c² - 100.

• (c - 10)(c + 10)

• (3c - 10)(3c + 10)

• (9c + 100)(9c - 100)

• (9c - 10)(9c + 10)

Find the factors of 81 - 25w².

• (9 - 5w)(9 + 5w)

• (9w - 5)(9w + 5)

• (5w - 9)(5w + 9)

• (5 - 9w)(5 + 9w)

Find the factors of 4w² - 49.

• (2 - 7w)(2 + 7w)

• (2w - 7)(2w + 7)

• (7w - 2)(7w + 2)

• (7 - 2w)(7 + 2w)

Find the factors of x⁴ - 81.

• (x - 9)(x + 9)

• (x² + 9)(x² - 9)

• (x² - 81)(x² + 81)

• (x + 81)(x - 81)

Find the factors of 81 - 400q²

• (9 - 200q)(9 + 200q)

• (9q + 20)(9q - 20)

• (9 - 20q)(9 + 20q)

• (81 - 100q)(81 + 100q)