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Which is Which

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  • x² - 1
    Yes — It factors as (x - 1)(x + 1)
  • x² - 25
    Yes — It factors as (x - 5)(x + 5)
  • x² + 36
    No — It's a sum of squares, not a difference.
  • 9y² - 1
    Yes — It factors as (3y - 1)(3y + 1)
  • 36x² - 49
    Yes — It factors as (6x - 7)(6x + 7)
  • 25x² + 36
    No — It's a sum, not a difference.
  • 49 - y²
    Yes — It factors as (7 - y)(7 + y)
  • 16a² - 81b²
    Yes — It factors as (4a - 9b)(4a + 9b)
  • x² - 6x
    No — It is not in the form a² - b².
  • 4x² - 49
    Yes — It factors as (2x - 7)(2x + 7)
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