Question

3a(a+2)-(a+3)² = 8c+4(1-c)² = 3(x+y)²-6xy = (a-4)²-2a(3a-4) = a(a+2b)-(a+b)² = (x-2)(x+4)-2x(1+x) = 3a(2a-1)-2a(4+3a) =

Answer 1

Ответ:

Пошаговое объяснение:

3a(a+2)-(a+3)² =3а²+6а-а²-6а-9=2а²-9

8c+4(1-c)² =8с+4-8с+4с²=4+4с²

3(x+y)²-6xy =3х²+6ху+3у²-6ху

=3х²+3у²

(a-4)²-2a(3a-4) =а²-8а+64-6а²+8а=

-7а²+64+8а

a(a+2b)-(a+b)² =а²+2аb-a²-2ab-b²=-b²

(x-2)(x+4)-2x(1+x) =x²+4x-2x-8-2x-2x²=

-x²-8

3a(2a-1)-2a(4+3a) =6a²-3a-8a-6a²=-11a

Answer 2

Let's simplify each of the given expressions step by step:

1. 3a(a+2) - (a+3)²:

Expand the squared term and the first part: 3a(a+2) - (a+3)² = 3a(a+2) - (a+3)(a+3)

Expand further: 3a(a+2) - (a+3)² = 3a² + 6a - (a² + 6a + 9)

Combine like terms: 3a(a+2) - (a+3)² = 3a² + 6a - a² - 6a - 9

Simplify: 3a(a+2) - (a+3)² = (3a² - a²) + (6a - 6a) - 9

Final result: 3a(a+2) - (a+3)² = 2a² - 9

2. 8c + 4(1-c)²:

Expand the squared term: 8c + 4(1-c)² = 8c + 4(1 - 2c + c²)

Expand further: 8c + 4(1-c)² = 8c + 4 - 8c + 4c²

Combine like terms: 8c + 4(1-c)² = 4c² + 4

Final result: 8c + 4(1-c)² = 4c² + 4

3. 3(x+y)² - 6xy:

Expand the squared term: 3(x+y)² - 6xy = 3(x² + 2xy + y²) - 6xy

Distribute the 3: 3(x+y)² - 6xy = 3x² + 6xy + 3y² - 6xy

Combine like terms: 3(x+y)² - 6xy = 3x² + 3y²

Final result: 3(x+y)² - 6xy = 3x² + 3y²

4. (a-4)² - 2a(3a-4):

Expand the squared term and distribute the 2a: (a-4)² - 2a(3a-4) = (a² - 8a + 16) - (6a² - 8a)

Combine like terms: (a-4)² - 2a(3a-4) = a² - 8a + 16 - 6a² + 8a

Simplify: (a-4)² - 2a(3a-4) = -5a² + 16

Final result: (a-4)² - 2a(3a-4) = -5a² + 16

5. a(a+2b) - (a+b)²:

Expand the squared term and the first part: a(a+2b) - (a+b)² = a(a+2b) - (a² + 2ab + b²)

Expand further: a(a+2b) - (a+b)² = a² + 2ab - a² - 2ab - b²

Combine like terms: a(a+2b) - (a+b)² = (a² - a²) + (2ab - 2ab) - b²

Final result: a(a+2b) - (a+b)² = -b²

6. (x-2)(x+4) - 2x(1+x):

Expand both parts: (x-2)(x+4) - 2x(1+x) = x² + 4x - 2x - 8 - 2x²

Combine like terms: (x-2)(x+4) - 2x(1+x) = x² + 4x - 2x² - 2x - 8

Simplify: (x-2)(x+4) - 2x(1+x) = -x² + 2x - 8

Final result: (x-2)(x+4) - 2x(1+x) = -x² + 2x - 8

7. 3a(2a-1) - 2a(4+3a):

Distribute the 3a and the -2a: 3a(2a-1) - 2a(4+3a) = 6a² - 3a - 8a - 6a²

Combine like terms: 3a(2a-1) - 2a(4+3a) = 6a² - 6a² - 3a - 8a

Simplify: 3a(2a-1) - 2a(4+3a) = -11a

Final result: 3a(2a-1) - 2a(4+3a) = -11a