AlgebraLab

Algebra I Recipe: Multiplying Polynomials: Two Special Cases

By G Redden

A. Squaring a Binomial (a + b)2 = (a + b)(a + b)
  1. Square the first term. (1st term of answer)
  2. Multiply the two terms then double. (2nd term of answer)
  3. Square the last term. (3rd term of answer)
1.
(4x – 12)2
2.
(-6x + 2)2
3.
(3x – 2)2
B. Multiplying Two Binomials with Identical Terms in the Form (a + b)(a - b)
  1. Multiply the two first terms.
  2. Multiply the two last terms.
  3. There is no middle term because the product of the inside and outside terms cancel.
4.
(2x + 5) (2x – 5)
5.
(x + 9) (x - 9)
6.
(x2 + 3) (x2 – 3)