Difference of Squares (factorization)

x² - 9

• (x + 3) (x - 3)
• (x - 3) (x - 3)
• (x + 3) (x - 6)
• Can't factor using Diff. of Squares

q² - 121

• (q + 11) (q - 11)
• (q - 11) (q - 11)
• (q + 11) (q + 11)
• Can't factor using Diff. of Squares

r⁴ - q⁴

• (r² + q²) (r² - q²)
• (r² - q²) (r² - q²)
• (r + q) (r - q)
• 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)

x² + 81

• ( x - 9 ) ( x - 9 )

• ( x - 9 ) ( x + 9 )

• ( x + 9 ) ( x + 9 )

• Can't factor using Diff. of Squares

r² - 9t²

• (r + 3t) (r - 3t)
• (r - 3t) (r - 3t)
• (3r + t) (3r - t)
• Can't factor using Diff. of Squares

Find the GCF, then factoring using the difference of squares

18n² - 72

• 2(3n + 1) (3n - 1)

• 3(3n - 1) (3n - 1)

• 2(n + 3) (n - 3)

• 2(3n + 6)(3n - 6)

4m² + 49

• (2m + 7) (2m - 7)
• (2m - 7) (2m - 7)
• (m + 7) (m - 7)
• Can't factor using Diff. of Squares

4a² - 25

• (2a + 5) (2a - 5)
• (2a - 5) (2a - 5)
• (x + 5) (x - 5)
• Can't factor using Diff. of Squares

Find the factors of x² - 144. Select all that apply.

• (x + 12)(x + 12)

• (x - 24)(x + 24)

• (x + 12)(x - 12)

• (x + 24)(x - 24)

• (x - 12)(x + 12)