Answer
Options C and F are correct.
x² + 6x + 9 = 25
(x + 3)² = 25
are both equivalent to
x² + 6x = 16
Step-by-step explanation
The equations that are equivalent to x² + 6x = 16 will all have to reduce to this exact equation on simplification.
x² + 6x + 9 = 0
Option A is not correct as this equation isn't equal to the equation given in the question.
x² + 6x + 9 = 16
x² + 6x = 16 - 9
x² + 6x = 7
Option B is not correct as this equation isn't equal to the equation given in the question.
x² + 6x + 9 = 25
x² + 6x = 25 - 9
x² + 6x = 16
This option C is corect as it matches the equation given in the quesion.
(x + 3)² = 0
x² + 6x + 9 = 0
Option D is not correct as this equation isn't equal to the equation given in the question.
(x + 3)² = 16
x² + 6x + 9 = 16
x² + 6x = 16 - 9
x² + 6x = 7
Option E is not correct as this equation isn't equal to the equation given in the question.
(x + 3)² = 25
x² + 6x + 9 = 25
x² + 6x = 25 - 9
x² + 6x = 16
This option F is corect as it matches the equation given in the quesion.
Hope this Helps!!!