Question

(2x - 3)(2x + 3) + (2x + 3)^2

Answer 1

(2х-3)(2х+3)+(2х+3)^2

разложим выражение на множители

(2х+3)(2х-3+2х+3)

сократим противоположные выражения, приведем подобные члены

(2х+3)•4х

поменяем порядок слагаемых или множителей

4х•(2х+3)

Answer 2

Let's simplify the expression step by step:

1. (2x - 3)(2x + 3): This is the product of two binomials using the formula for the difference of squares (a^2 - b^2 = (a + b)(a - b)).

   (2x - 3)(2x + 3) = (2x)^2 - (3)^2 = 4x^2 - 9

2. (2x + 3)^2: This is the square of a binomial using the formula (a + b)^2 = a^2 + 2ab + b^2.

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

Now, let's add the two simplified expressions together:

(4x^2 - 9) + (4x^2 + 12x + 9)

Combine the like terms:

8x^2 + 12x

So, the simplified expression is 8x^2 + 12x.