Question

Упростите выражения 1)(c-2)(c-3)-c² 2)7(x+8)+(x+8)(x-8) 3)(x+5)4x-(2x+5)²

Answer 1

Держи, если есть вопросы спрашивай

Answer 2

1. (c-2)(c-3)-c²

(c-2)(c-3) = c² -5c + 6

Substitute back into the original expression:

(c² -5c + 6) - c² = -5c + 6

Simplified expression: -5c + 6

2. 7(x+8) + (x+8)(x-8)

(x+8) is a common factor in both terms:

7(x+8) + (x+8)(x-8) = (x+8)(7 + x-8) = (x+8)x

Simplified expression: x(x+8)

3. (x+5)4x - (2x+5)²

Expand the squared term:

(2x+5)² = (2x+5)(2x+5) = 4x² + 20x + 25

Substitute back into the original expression:

(x+5)4x - (4x² + 20x + 25)

Distribute the 4x:

4x² + 20x - (4x² + 20x + 25)

Combine like terms:

4x² - 4x² + 20x - 20x - 25

Simplified expression: -25