Question

(X-2)(x-3)-(x+2)(x-5)

Answer 1

Ответ: 4-2x

Объяснение:

Раскрываем скобки по очередности.

Answer 2

To simplify the expression (X-2)(x-3) - (x+2)(x-5), follow these steps:

Step 1: Expand both terms using the distributive property. Step 2: Simplify the expression further.

Let's go through it step by step:

Step 1: Expand the terms. (X-2)(x-3) = Xx - X3 - 2x + 23 = X^2 - 3X - 2x + 6

(x+2)(x-5) = xx - x5 + 2x - 25 = x^2 - 5x + 2x - 10 = x^2 - 3x - 10

Step 2: Now, subtract the expanded terms: (X-2)(x-3) - (x+2)(x-5) = (X^2 - 3X - 2x + 6) - (x^2 - 3x - 10)

Step 3: Simplify further: = X^2 - 3X - 2x + 6 - x^2 + 3x + 10

Step 4: Combine like terms: = (X^2 - x^2) + (-3X + 3x) + (-2x) + (6 + 10)

Step 5: Simplify: = 0 + 0 - 2x + 16

Step 6: Final result: = -2x + 16

The simplified expression is: -2x + 16.