Question

1) 20a + (a - 10)²; 3) (x + 4)² - 8(x + 2); 2) (3m + 5)² - 9m²; 4) (2a-7b)² - (4a² + 496²). срочно діже треба даю 20 б​

Answer 1

Ответ:

1)a2+100

2)30m+25

3)x2

4)-28ab+49b2-496 2

Объяснение:

Answer 2

1. To simplify the expression 20a + (a - 10)², we need to expand the square term.

First, let's simplify the square term (a - 10)²: (a - 10)² = a² - 2(a)(10) + 10² = a² - 20a + 100

Now, we substitute this into the original expression: 20a + (a - 10)² = 20a + (a² - 20a + 100)

Combining like terms, we get: 20a + a² - 20a + 100 = a² + 100

Therefore, the simplified form of the expression 20a + (a - 10)² is a² + 100.

2. To simplify the expression (3m + 5)² - 9m², we follow the same steps.

Expanding the square term (3m + 5)²: (3m + 5)² = (3m)² + 2(3m)(5) + 5² = 9m² + 30m + 25

Substituting this into the original expression: (3m + 5)² - 9m² = 9m² + 30m + 25 - 9m²

Combining like terms, we get: 9m² - 9m² + 30m + 25 = 30m + 25

Therefore, the simplified form of the expression (3m + 5)² - 9m² is 30m + 25.

3. To simplify the expression (x + 4)² - 8(x + 2), we follow the same steps.

Expanding the square term (x + 4)²: (x + 4)² = x² + 2(x)(4) + 4² = x² + 8x + 16

Substituting this into the original expression: (x + 4)² - 8(x + 2) = x² + 8x + 16 - 8(x + 2)

Expanding the term -8(x + 2): -8(x + 2) = -8x - 16

Combining like terms, we get: x² + 8x + 16 - 8x - 16 = x²

Therefore, the simplified form of the expression (x + 4)² - 8(x + 2) is x².

4. To simplify the expression (2a - 7b)² - (4a² + 496²), we follow the same steps.

Expanding the square term (2a - 7b)²: (2a - 7b)² = (2a)² - 2(2a)(7b) + (7b)² = 4a² - 28ab + 49b²

Substituting this into the original expression: (2a - 7b)² - (4a² + 496²) = 4a² - 28ab + 49b² - (4a² + 496²)

Combining like terms, we get: 4a² - 4a² - 28ab + 49b² - 496² = -28ab + 49b² - 496²

Therefore, the simplified form of the expression (2a - 7b)² - (4a² + 496²) is -28ab + 49b² -