Question

A. 6xy-(3x+y)² Б. (a-2)²-(4-a) В. (5a+3b)²-(5a-3b)² Г. 7y(9y-1)-2(6y+4)² Д.4(2x-3y)²+6(3x+2y)²

Answer 1

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Answer 2

Let's simplify each expression:

A. 6xy - (3x + y)² Expanding the square, we get: 6xy - (9x² + 2xy + y²) Rearranging the terms: 6xy - 9x² - 2xy - y² Combining like terms: (6xy - 2xy) - 9x² - y² 4xy - 9x² - y²

B. (a - 2)² - (4 - a) Expanding the squares, we get: (a² - 4a + 4) - (4 - a) Removing the parentheses: a² - 4a + 4 - 4 + a Combining like terms: a² - 4a + a Simplifying further: a² - 3a

C. (5a + 3b)² - (5a - 3b)² Expanding the squares, we get: (25a² + 30ab + 9b²) - (25a² - 30ab + 9b²) Removing the parentheses: 25a² + 30ab + 9b² - 25a² + 30ab - 9b² Combining like terms: 30ab + 30ab + 25a² - 25a² + 9b² - 9b² 60ab

D. 4(2x - 3y)² + 6(3x + 2y)² Expanding the squares, we get: 4(4x² - 12xy + 9y²) + 6(9x² + 12xy + 4y²) Distributing the coefficients: 16x² - 48xy + 36y² + 54x² + 72xy + 24y² Combining like terms: 70x² - 48xy + 60y²

So, the simplified expressions are: A. 4xy - 9x² - y² B. a² - 3a C. 60ab D. 70x² - 48xy + 60y²