Review of Special Products

Exercise 1.Complete.Note: Type in the terms and numbers. (a + 3)(a + 3) = a² + 6a + 9(b − 4)(b − 4) = b² − 8b + 16(3x + 7)² = 9x² + 42x + 49(5a − 2b)² = 25a² − 20ab + 4b² Exercise 2.Complete the equation.Use the rules for remarkable products. (x + 6)² = x² + 12x + 36(x − 4)² = x² − 8x + 16(x − 11)² = x² − 22x + 121(x − 2y)(x + 2y) = x² − 4y² Exercise 3.Simplify.(a + 7)(a − 7) = a2 + 49 a2 + 14a + 49 a2 - 14a - 49 a2 - 49 Exercise 4.Simplify.(a + 3)(a + 3) = a² + 9 a² + 3a + 9 a² + 9a + 9 a² + 6a + 9 Exercise 5.Simplify.(a − 1)2 = a² − 2a − 1 a² + 2a + 1 a² − a + 1 a² − 2a + 1 Exercise 6.Simplify.(3x + 7)2 = 9x² + 42x + 49 9x² + 10x + 49 9x² + 21x + 49 3x² + 42x + 49