Which of the following is equivalent to (2x + 3)(2x + 3)?

The product of two equal values can be expressed by one of these squared values. For example,

The sum of two terms squared can be solved by a remarkable product called "square of the sum of two terms", which is expressed as follows:

Developing, changing the values, we will have:

The answer is C.

_____

The development of remarkable products is done as follows:

The correct answer is option C. 4x² + 12x + 9

Step-by-step explanation:

Identity

(a + b )² = a²+ 2ab + b²

It is given that

(2x + 3)(2x + 3) = (2x + 3)²

Here a = 2x and b = 3

Therefore  

(2x + 3 )² =  (2x)² + 2*2x*3 + 3²

(2x + 3 )² = 4x² + 12x + 9

Therfore the correct optin is Option C). 4x² + 12x + 9