a' +2ab+b' = (a + b)(a + b) = (a + by 4. Use the correct patterns to factor the perfect square trinomials a' -2ab + b' =(a -b)(a - b) = (a - b) Verify which patter did you use for each? Level (5-6) perfect square trinomial Factor Verify 49p4 - 84p2 +36 25j2 + 100j+ 100 Level (7-8) b. Justify that the perfect square trinomials and the square of a binomial are two faces for the same coin. 5. a. Use the difference of two squares pattern to factor the following. Level (7-9) z2 - 36 b. Complete the "Product of a sum and difference" rule. Write a conclusion that describes the relation with "difference of two squares" rule. (a + b) (a - b)= Conclusion: c. Verify whether any of these patterns work for the example x + 25