Answer to those (a+2)(a+2) (b+7)(b+7) (c-3)(c-3)

  1. a^2 + 4a + 4

                2. b^2 + 14b + 14

                3. c^2 -6c + 9

a² + 4a + 4

Step-by-step explanation:

   (a + 2)(a + 2)

= a(a + 2) +2(a + 2)

= a² + 2a + 2a + 4

= a² + 4a + 4

b² + 14b + 49

Step-by-step explanation:

   (b + 7)(b + 7)

= b(b + 7) +7(b + 7)

= b² + 7b + 7b + 49

= b² + 14b + 49

c² - 6c + 9

Step-by-step explanation:

   (c - 3)(c - 3)

= c(c - 3) -3(c - 3)

= c² - 3c - 3c + 9

= c² - 6c + 9

SHORTCUT: These are perfect squares. There is a formula for multiplying perfect squares:  (a ± b)² = a² + 2ab + b²

(a + 2)² = a² + 2(a)(2) + (2)²

            = a² + 4a + 4

(b + 7)² = b² + 2(b)(7) + (7)²

           = b² + 14b + 49

(c - 3)² = c² + 2(c)(-3) + (-3)²

           = c² - 6c + 9