Question

(x-2)(x+2)-(x-5)^2=?

Answer 1

Ответ:

$x^2-4-x^2+25=21$

Объяснение:

Cразу раскрыл скобки

Answer 2

Ответ:

$10x - 29$

Объяснение:

$(x-2)(x+2)-(x-5)^2 = x^2 - 4 - x^2 + 10x - 25 = 10x - 29$

Answer 3

Let's simplify the expression step by step:

1. Expand the terms within the parentheses: (x - 2)(x + 2) = x * x + x * 2 - 2 * x - 2 * 2 = x^2 + 2x - 2x - 4 = x^2 - 4

2. Expand the square term: (x - 5)^2 = (x - 5)(x - 5) = x * x - x * 5 - 5 * x + 5 * 5 = x^2 - 5x - 5x + 25 = x^2 - 10x + 25

3. Subtract the expanded square term from the expanded expression: (x - 2)(x + 2) - (x - 5)^2 = x^2 - 4 - (x^2 - 10x + 25)

Now, distribute the negative sign inside the parentheses: = x^2 - 4 - x^2 + 10x - 25

Combining like terms: = (x^2 - x^2) + (10x) + (-4 - 25) = 10x - 29

Therefore, (x - 2)(x + 2) - (x - 5)^2 simplifies to 10x - 29.