Question

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

Answer 1

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

Answer 2

Answer:

$(2x+3)(2x+3)=4x^2+12x+9$

Step-by-step explanation:

we are given

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

Firstly, we will distribute it

$=2x\times 2x+2x\times 3+3\times 2x+3\times 3$

now, we can simplify it

$=2\times 2\times x\times x+2\times 3x+3\times 2x+9$

$=4x^2+6x+6x+9$

$=4x^2+12x+9$

so, we get simplified term as

$(2x+3)(2x+3)=4x^2+12x+9$