Question

(x + 2)^2 – (x – 2)^2 как разложить на множители?

Answer 1

${(x + 2)}^{2} - {(x - 2)}^{2} = {x}^{2} + 4 - 4x - {x}^{2} - 4 + 4x$

Answer 2

X^2+4x+4-x^2+4x-4 дальше просто скороти додай и всё 

Answer 3

To factor the expression (x + 2)^2 - (x - 2)^2, we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b).

Let's apply this formula to the given expression:

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

Since both terms are squared, we can rewrite them as follows:

[(x + 2) + (x - 2)][(x + 2) - (x - 2)]

Now, let's simplify each part:

[(x + 2) + (x - 2)] simplifies to (2x) [(x + 2) - (x - 2)] simplifies to (2x + 4)

So, the fully factored expression is:

(2x)(2x + 4)

To simplify it further, we can factor out the common factor of 2:

2x(2x + 4)

And that's the final factored form of the expression.