Question

-(4-2a)²-(3a-2)(6-a)+a²​

Answer 1

Ответ:

-4-4а

Объяснение:

-(4-2a)²-(3a-2)(6-a)+a² =

1) раскрываем по фсу: (a-b)²= a²-2ab+b²

(4-2a)²= 4² - 2*4*2a+ (2a)²= 16-16a+4a²

2) так как минус перед скобкой, то меняем знаки

-16+16a-4a²

3)- (3a-2)(6-a)=-(18а-3а²-12+2а)= -18а+3а²+12-2а= 3а²-20а +12

4) -(4-2a)²-(3a-2)(6-a)+a² = -16+16a-4a²+3а²-20а +12+a²=-4-4а

Answer 2

Объяснение:

прикрепила решение на фото

Answer 3

To simplify the expression -(4-2a)² - (3a-2)(6-a) + a², follow these steps:

1. Start by expanding each of the terms:

• Expand the first term: -(4-2a)² = -(4-2a)(4-2a) = -((4-2a)(4-2a)) = -((4-2a)²)

• Expand the second term: (3a-2)(6-a) = 3a(6-a) - 2(6-a) = 18a - 3a² - 12 + 2a

2. Simplify both expanded terms:

• Simplify the first term: -(4-2a)² = -(16 - 8a + 4a²)

• Simplify the second term: 18a - 3a² - 12 + 2a = 20a - 3a² - 12

3. Now, you can rewrite the expression with the simplified terms:

-(16 - 8a + 4a²) - (20a - 3a² - 12) + a²

4. Distribute the negative sign through the first term in parentheses and add the like terms:

-16 + 8a - 4a² - 20a + 3a² + 12 + a²

5. Combine like terms:

(8a - 20a) + (4a² + 3a² + a²) + (-16 + 12)

6. Further simplify:

-12a + 8a² - 4

7. The final simplified expression is:

8a² - 12a - 4