Question

) (2x + 3y)2-(2x-3y)?;​

Answer 1

Ответ во вложении ниже

Answer 2

To simplify the expression (2x + 3y)^2 - (2x - 3y), you can use the difference of squares formula, which states that:

(a^2 - b^2) = (a + b)(a - b)

In your expression, let a = (2x + 3y) and b = (2x - 3y). Then, apply the difference of squares formula:

(2x + 3y)^2 - (2x - 3y) = [(2x + 3y) + (2x - 3y)][(2x + 3y) - (2x - 3y)]

Now, simplify each part:

1. Simplify the first part, (2x + 3y) + (2x - 3y):

(2x + 3y) + (2x - 3y) = 2x + 3y + 2x - 3y

Combine like terms:

2x + 2x + 3y - 3y = 4x

So, the first part simplifies to 4x.

2. Simplify the second part, (2x + 3y) - (2x - 3y):

(2x + 3y) - (2x - 3y) = 2x + 3y - 2x + 3y

Combine like terms:

2x - 2x + 3y + 3y = 6y

So, the second part simplifies to 6y.

Now, you have:

4x * 6y

Multiply 4x and 6y:

4x * 6y = 24xy

So, the simplified expression is 24xy.