Question

1) (3a+4B)(3a + 4в) -3a(a-B); 2) (5x-2y)² - (2y+x)²; 3) 8xy+4(x-y)²; 4) 4aB+(2aB-3)(2aB+3)-(aв+2)².​

Answer 1

Ответ:

Пошаговое объяснение:

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Answer 2

Let's simplify each of the given expressions:

1. (3a + 4B)(3a + 4в) - 3a(a - B)

Expanding the first two terms using the distributive property:

= (9a² + 12aB + 12aв + 16Bв) - 3a(a - B)

Multiplying -3a by each term inside the parentheses:

= 9a² + 12aB + 12aв + 16Bв - 3a² + 3aB

Combining like terms:

= 9a² - 3a² + 12aB + 3aB + 12aв + 16Bв

= 6a² + 15aB + 12aв + 16Bв

2. (5x - 2y)² - (2y + x)²

Expanding the squares:

= (25x² - 20xy + 4y²) - (4y² + 4xy + x²)

Removing the parentheses:

= 25x² - 20xy + 4y² - 4y² - 4xy - x²

Combining like terms:

= 25x² - x² - 20xy - 4xy + 4y² - 4y²

= 24x² - 24xy

= 24x(x - y)

3. 8xy + 4(x - y)²

Expanding the square:

= 8xy + 4(x² - 2xy + y²)

Removing the parentheses:

= 8xy + 4x² - 8xy + 4y²

Combining like terms:

= 4x² + 4y²

4. 4aB + (2aB - 3)(2aB + 3) - (aв + 2)²

Expanding the second term using the distributive property:

= 4aB + (4a²B² - 9) - (a²в² + 4aв + 4)

Removing the parentheses:

= 4aB + 4a²B² - 9 - a²в² - 4aв - 4

Combining like terms:

= 4aB + 4a²B² - a²в² - 4aв - 13

That's the simplified form for each of the given expressions.