Question

Раскройте скобки и приведите подобные слагаемые. 1. 3(x+4) - (3-х)-x-4 2. x+4-5(2-х) - (5+1)х-5 3. 4(x+4)-4 (3-х)-x-5 4. x+2-4 (5-х) - (4+1)х-2 5. 2(x+4) - (1-x) - (1+2)х-2 6. x+2-2(5-х)-x-1 7.4(x+2) - (1-x) - (1+4)х-5 8. 4(х+2) - 4(4-x)-x-2 9. 3(х+1) - 4 (5-х) - (4+3)х-2 10. 3(x+3) - 5(2-х)-x-4

Answer 1

Ответ:

1. 3х - 3

2. -11

3. 7х - 1

4. -20

5. 5

6. 2х - 9

7. 2

8. 7х - 10

9. -19

10. 7х - 5

Объяснение:

1. 3(х+4) - (3-х) - х - 4 = 3х + 4 - 3 + х - х - 4 = 3х - 3

2. x + 4 - 5(2-х) - (5+1)х - 5 = х + 4 - 10 + 5х - 5х - х - 5 = 4 - 10 - 5 = -11

3. 4(x+4) - 4(3-х) - x - 5 = 4х + 16 - 12 + 4х - х - 5 = 4х + 4х - х + 16 - 12 - 5 = 7х - 1

4. x + 2 - 4(5-х) - (4+1)х - 2 = х + 2 - 20 + 4х - 4х - х - 2 = -20

5. 2(x+4) - (1-x) - (1+2)х - 2 = 2х + 8 - 1 + х - х - 2х - 2 = 8 - 1 - 2 = 5

6. x + 2 - 2(5-х) - x - 1 = х + 2 - 10 + 2х - х - 1 = 2 - 10 - 1 + 2х = -9 + 2х = 2х - 9

7. 4(x+2) - (1-x) - (1+4)х - 5 = 4х + 8 - 1 + х - х - 4х - 5 = 8 - 1 - 5 = 2

8. 4(х+2) - 4(4-x) - x - 2 = 4х + 8 - 16 + 4х - х - 2 = 4х + 4х - х + 8 - 16 - 2 = 7х - 10

9. 3(х+1) - 4(5-х) - (4+3)х - 2 = 3х + 3 - 20 + 4х - 4х - 3х - 2 = 3 - 20 - 2 = -19

10. 3(x+3) - 5(2-х) - x - 4 = 3х + 9 - 10 + 5х - х - 4 = 3х + 5х - х + 9 - 10 - 4 = 7х - 5

Answer 2

Давайте рассмотрим каждое уравнение по очереди и выполним указанные операции:

1. 3(x+4) - (3-x) - x - 4 = 3x + 12 - 3 + x - x - 4 = 3x + x - x + 12 - 3 - 4 = 3x + x - x + 5 = 3x

2. x + 4 - 5(2-x) - (5+1)x - 5 = x + 4 - 10 + 5x - 6x - 5 = x + 4 + 5x - 6x - 10 - 5 = 6x - 2

3. 4(x+4) - 4(3-x) - x - 5 = 4x + 16 - 12 + 4x - x - 5 = 4x + 4x - x + 16 - 12 - 5 = 7x - 1

4. x + 2 - 4(5-x) - (4+1)x - 2 = x + 2 - 20 + 4x - 5x - 2 = x + 2 + 4x - 5x - 20 - 2 = 0

5. 2(x+4) - (1-x) - (1+2)x - 2 = 2x + 8 - 1 + x - 3x - 2 = 2x + x - 3x + 8 - 1 - 2 = 0

6. x + 2 - 2(5-x) - x - 1 = x + 2 - 10 + 2x - x - 1 = x + 2 + 2x - x - 10 - 1 = 2x - 9

7. 4(x+2) - (1-x) - (1+4)x - 5 = 4x + 8 - 1 + x - 5x - 5 = 4x + x - 5x + 8 - 1 - 5 = -x + 2

8. 4(x+2) - 4(4-x) - x - 2 = 4x + 8 - 16 + 4x - x - 2 = 4x + 4x - x + 8 - 16 - 2 = 7x - 10

9. 3(x+1) - 4(5-x) - (4+3)x - 2 = 3x + 3 - 20 + 4x - 4x - 3x - 2 = 3x + 4x - 4x - 3x + 3 - 20 - 2 = 0

10. 3(x+3) - 5(2-x) - x - 4 = 3x + 9 - 10 + 5x - x - 4 = 3x + 5x - x + 9 - 10 - 4 = 7x - 5

Таким образом, после рас