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Multiplying binomials (FOIL) worksheets Grades 8–9

Multiply two binomials with first, outer, inner, last, then combine like terms.

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Free · Worked example · 21 problems · Answer key · US Letter

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How to do it

Multiply each term in the first by each term in the second (first, outer, inner, last). Combine like terms.

(4x−1)(3x−7)=12x2−28x−3x+7=12x2−31x+7(4x - 1)(3x - 7) = 12x^{2} - 28x - 3x + 7 = 12x^{2} - 31x + 7first, outer, inner, last; then combine

Example problems

  1. (3x+6)(x+8)=(3x + 6)(x + 8) =
  2. (4x−2)(x+9)=(4x - 2)(x + 9) =
  3. (3x+3)(4x−7)=(3x + 3)(4x - 7) =
  4. (4x−4)(4x−5)=(4x - 4)(4x - 5) =

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