Question

x^2+6x+4 Which of the following is equivalent to the expression above? Justify your answer. A) (x+3)^2+5 B) (x+3)^2-5 C) (x-3)^2+5 D) (x-3)^2-5

Answer 1

Answer:

B) ( x+3)² - 5

Step-by-step explanation:

Given expression

               x²+6x+4

Adding '9' and subtracting '9' of given expression

      ⇒ x² + 2 (3) (x) +(3)² -(3)² +4

(a + b)² = a² + 2 a b + b²

     ⇒ ( x+3)² - 9 +4

     ⇒ ( x+3)² -5