Question

1. 2α(α + 3) - 2(α2 + 3)= 2. 4(х - 6) + 4(х +6)= 3. - 6(2х - 4) - 4(3х + 6)= 4. 2(3х + 1) - 3(2х - 7)= 5. 4(х - 5) - 5(х -4)=

Answer 1

Объяснение:

1. =2а^2 + 6а - 2а^2 - 6=6а - 6

2. 4х - 24 + 4х + 24 = 8х

3. - 12х + 24 - 12х - 24 = - 24х

4. 6х + 2 - 6х + 21 = 23

5. 4х - 20 - 5х + 20 = - х

Answer 2

2. 4х-24+4х+24
4х+4х=24-24
8х=0/:8
х=0
3. -12х+24-12х-24
-12х-12х=24-24
-24х=0/:(-24)
х=0
4. 6х+2-6х+21
6х-6х=-2-21
0=-22 (неверно)
5. 4х-20-5х+20
4х-5х=20-20
-х=0/:(-1)
х=0

Answer 3

Let's simplify each of the given expressions:

1. 2α(α + 3) - 2(α^2 + 3) Distributing and simplifying: = 2α^2 + 6α - 2α^2 - 6 = 6α - 6

2. 4(x - 6) + 4(x + 6) Distributing and simplifying: = 4x - 24 + 4x + 24 = 8x

3. -6(2x - 4) - 4(3x + 6) Distributing and simplifying: = -12x + 24 - 12x - 24 = -24x

4. 2(3x + 1) - 3(2x - 7) Distributing and simplifying: = 6x + 2 - 6x + 21 = 23

5. 4(x - 5) - 5(x - 4) Distributing and simplifying: = 4x - 20 - 5x + 20 = -x

Therefore, the simplified expressions are:

1. 6α - 6
2. 8x
3. -24x
4. 23
5. -x