Lesson 6-6 Special Products of Binomials Obj: The student will be able to find special products of binomials HWK: p 437 1-20 all Vocab: 1) perfect-square trinomial 2) difference of two squares

Ex 1) Find the area of a square with side lengths of a + b

Multiply Ex 2) (x + 4)² Look for pattern:

Ex 3) (x + 6)² Ex 4) (5a + b)²

Ex 5) (-m + 3)² Ex 6) (1 + c³)²

Ex 7) (x – 4)² Look for pattern:

Ex 8) (x – 7)² Ex 9) (3b – 2c)²

Ex 10) (a² - 4)²

Ex 11) (a + b)(a – b) Ex 12) (x + 6)(x – 6) Look for pattern:

Ex 13) (3 + 2y²)(3 – 2y²) Ex 14) (9 + r)(9 – r)

a) How can you find the area of the path? Ex 15) A square Koi pond is surrounded by a gravel path. Write an expression that represents the area of the path. a) How can you find the area of the path? b) Find the area of the path. X - 2 X + 2

Special Products of Binomials Perfect-Square Trinomials (a + b)² = (a + b)(a + b) = a² + 2ab + b² (a – b)² = (a – b)(a – b) = a² - 2ab + b² Difference of Two Squares (a + b)(a – b) = a² - b²