Question

( х - 2 ) (х + 2) - ( х - 5)²​

Answer 1

Ответ:

10x - 29

Объяснение:

(x - 2)(x + 2) - (x - 5)² =

(x - 2)(x + 2) - это формула разницы квадратов

x² - 4 - (x² - 10x + 25) =

x² - 4 - x² + 10x - 25 =

10x - 4 - 25 = 10x - 29

Answer 2

To simplify the expression $(x - 2)(x + 2) - (x - 5)^2$, you can expand it and then combine like terms:

1. Expand $(x - 2)(x + 2)$ using the distributive property: $(x - 2)(x + 2) = x(x) + x(2) - 2(x) - 2(2) = x^2 + 2x - 2x - 4$

2. Simplify the expression further: $x^2 + 2x - 2x - 4$

3. Now, subtract $(x - 5)^2$: $x^2 + 2x - 2x - 4 - (x - 5)^2$

4. Expand $(x - 5)^2$ using the distributive property: $(x - 5)^2 = (x - 5)(x - 5) = x(x) - 5(x) - 5(x) + 5(5) = x^2 - 5x - 5x + 25$

5. Simplify the expression further: $x^2 - 10x + 25$

Now, substitute this result back into the original expression:

$x^2 + 2x - 2x - 4 - (x^2 - 10x + 25)$

Now, combine like terms:

$x^2 + 2x - 2x - 4 - x^2 + 10x - 25$

Simplify further:

$-4 - 25$

Combine the constants:

$-29$

So, the simplified expression is $-29$.