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marin [14]
4 years ago
13

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

Mathematics
2 answers:
Elan Coil [88]4 years ago
8 0

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

Kryger [21]4 years ago
7 0

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

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