Question

(х+2) (х-2) - (х-2)²

Answer 1

(x+2)(x-2)-(x-2)²= x²-4-x²+4x-4= 4x-8

Answer 2

(х+2)* (х-2) - (х-2)²=(х-2)*(х+2-х+2)=

=4(х-2)

Answer 3

Let's simplify the expression step by step:

1. Distribute the first term (x+2) to both terms inside the second parentheses (x-2): (x+2)(x-2) = x(x-2) + 2(x-2)

2. Expand the second term (x-2)²: (x-2)² = (x-2)(x-2) = x(x-2) - 2(x-2)

Now, the expression becomes: x(x-2) + 2(x-2) - (x(x-2) - 2(x-2))

Next, let's simplify further:

3. Remove the parentheses: x(x-2) + 2x - 4 - (x^2 - 2x - 4)

4. Distribute the negative sign to all terms inside the parentheses: x(x-2) + 2x - 4 - x^2 + 2x + 4

5. Combine like terms: x(x-2) - x^2 + 4x

6. Distribute x to the terms inside the parentheses: x^2 - 2x - x^2 + 4x

7. Combine like terms: 2x

So, the simplified expression is 2x.