Objective: Factor difference of squares binomials and perfect square trinomials.
Remember that when multiplying two binomials, two special products are the difference of squares binomial and the perfect square trinomial. It is important to be able to quickly recognize these polynomials, because they can be easily factored according to the patterns used to obtain them.
A difference of squares binomial results from multiplying two binomials containing the sum and difference of the same two terms, as shown in the pattern:
(A + B)(A - B) = A2 - B2
Watch the video below to see how this pattern is used in factoring.
A perfect square trinomial results from squaring a binomial, as shown in the patterns:
(A + B)2 = A2 + 2AB + B2
(A - B)2 = A2 - 2AB + B2
Watch the video below to see how this pattern is used in factoring.
Complete the worksheet attachment below and then check your answers using the solutions attachment. Once you have completed these exercises, click the link to advance to the next lesson.