Respuesta :

Answer:

[tex](2x+3)(2x+3)=4x^2+12x+9[/tex]

Step-by-step explanation:

we are given

[tex](2x+3)(2x+3)[/tex]

Firstly, we will distribute it

[tex]=2x\times 2x+2x\times 3+3\times 2x+3\times 3[/tex]

now, we can simplify it

[tex]=2\times 2\times x\times x+2\times 3x+3\times 2x+9[/tex]

[tex]=4x^2+6x+6x+9[/tex]

[tex]=4x^2+12x+9[/tex]

so, we get simplified term as

[tex](2x+3)(2x+3)=4x^2+12x+9[/tex]

imlittlestar

Answer:


Step-by-step explanation:

Identity : (a + b)² = a² + 2ab + b²

It is given that,

(2x + 3 )(2x + 3)

we can write (2x + 3 )(2x + 3) = (2x + 3)²

It is similar to the identity.

Here a = 2x and b = 3

Therefore,

(2x + 3)² = (2x)² + 2 *2x*3 + 3²

              = 4x² + 12x +9

Therefore the correct answer is option A. 4x² + 12x +9

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