Question

Раскройте скобки и упростите выражение 1. -8(t-2)+4 2. -15-2(-4-x) 3. -2(x+4)+10(t-2) 4. 4(6-a)-7(b+9) 5. -5,2-(-y-5,2) 6. -(x-y)+(-t+y)

Answer 1

1. -8t + 16 - 14= -8t + 2

2. -

3. -2x - 8 +10t-20 = -2x -28 +10t

4. 24 -4a -7b -63= -39 -4a-7b

5. 5,2y + 5,2

6. -

Answer 2

1. -8(t-2) + 4

To simplify the expression, distribute the -8 to both terms inside the parentheses:

-8t + 16 + 4

Combine like terms:

-8t + 20

The simplified expression is -8t + 20.

2. -15 - 2(-4 - x)

Again, distribute the -2 to both terms inside the parentheses:

-15 - 2 * -4 - 2 * (-x)

Simplify the multiplication:

-15 + 8 + 2x

Combine like terms:

-7 + 2x

The simplified expression is -7 + 2x.

3. -2(x+4) + 10(t-2)

Distribute -2 to both terms inside the first set of parentheses and distribute 10 to both terms inside the second set of parentheses:

-2x - 8 + 10t - 20

Combine like terms:

-2x + 10t - 28

The simplified expression is -2x + 10t - 28.

4. 4(6-a) - 7(b+9)

Distribute 4 to both terms inside the first set of parentheses and distribute -7 to both terms inside the second set of parentheses:

24 - 4a - 7b - 63

Combine like terms:

-4a - 7b - 39

The simplified expression is -4a - 7b - 39.

5. -5.2 - (-y - 5.2)

Distribute the negative sign to both terms inside the second set of parentheses:

-5.2 + y + 5.2

Combine like terms:

y

The simplified expression is y.

6. -(x - y) + (-t + y)

Distribute the negative sign to both terms inside the first set of parentheses:

• x + y + (-t + y)

Rearrange the terms:

• x + (-t) + y + y

Combine like terms:

• x - t + 2y

The simplified expression is -x - t + 2y.