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Factoring the difference of squares worksheets Grades 8–9

Factor a² − b² as (a + b)(a − b).

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How to do it

a² − b² = (a + b)(a − b).

16x2−25=(4x)2−52=(4x+5)(4x−5)16x^{2} - 25 = (4x)^{2} - 5^{2} = (4x + 5)(4x - 5)a² − b² = (a + b)(a − b)

Example problems

  1. 9x2−1=9x^{2} - 1 =
  2. 9x2−25=9x^{2} - 25 =
  3. x2−49=x^{2} - 49 =
  4. 16x2−49=16x^{2} - 49 =

Polynomials and factoring

  1. Exponent rules
  2. Adding and subtracting polynomials
  3. Multiplying a monomial by a polynomial
  4. Multiplying binomials (FOIL)
  5. Special products
  6. Factoring out the GCF
  7. Factoring trinomials
  8. Factoring trinomials with a leading coefficient
  9. Factoring the difference of squares