Question

(x-3)²-(x+3)² спростіть вираз

Answer 1

Застосуємо формулу різницю квадратів

$\sf (x-3)^2-(x+3)^2=(x-3-x-3)(x-3+x+3)=(-6)\cdot 2x=-12x$

Answer 2

To simplify the given expression, we'll first expand both squared terms, and then combine like terms:

Step 1: Expand the squared terms: (x - 3)² = (x - 3)(x - 3) = x² - 6x + 9 (x + 3)² = (x + 3)(x + 3) = x² + 6x + 9

Step 2: Combine the terms: (x - 3)² - (x + 3)² = (x² - 6x + 9) - (x² + 6x + 9)

Step 3: Distribute the negative sign to the terms inside the parentheses: (x² - 6x + 9) - (x² + 6x + 9) = x² - 6x + 9 - x² - 6x - 9

Step 4: Combine like terms: (x² - x²) + (-6x - 6x) + (9 - 9) = -12x

The simplified expression is -12x.