Question

1) 9x²-(3x-2)(3x+2)2) (2x+3y)²-(2x-3y)2Спростити вираз

Answer 1

Ответ: Держи))

Объяснение:

Answer 2

1. To simplify the expression 9x² - (3x-2)(3x+2), we can expand the product (3x-2)(3x+2) and then combine like terms.

First, let's expand the product: (3x-2)(3x+2) = 3x * 3x + 3x * 2 - 2 * 3x - 2 * 2 = 9x² + 6x - 6x - 4 = 9x² - 4

Now we can simplify the expression: 9x² - (3x-2)(3x+2) = 9x² - (9x² - 4)

Distribute the negative sign inside the parentheses: 9x² - (9x² - 4) = 9x² - 9x² + 4

Combine like terms: 9x² - 9x² + 4 = 0x² + 4

The simplified expression is 4.

2. Similarly, let's simplify the expression (2x+3y)² - (2x-3y)².

Expand the squares: (2x+3y)² = (2x+3y)(2x+3y) = 4x² + 6xy + 6xy + 9y² = 4x² + 12xy + 9y²

(2x-3y)² = (2x-3y)(2x-3y) = 4x² - 6xy - 6xy + 9y² = 4x² - 12xy + 9y²

Now subtract the second expression from the first: (2x+3y)² - (2x-3y)² = (4x² + 12xy + 9y²) - (4x² - 12xy + 9y²)

Simplify by removing the parentheses and combining like terms: 4x² + 12xy + 9y² - 4x² + 12xy - 9y²

Combine like terms: (4x² - 4x²) + (12xy + 12xy) + (9y² - 9y²)

Simplify further: 0 + 24xy + 0

The simplified expression is 24xy.