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

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