Question

(3a-7)+(4-a)(8b+12)-(2-5b)​

Answer 1

Ответ:

Давайте рассмотрим каждое выражение по отдельности:

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

Раскроем скобки и сложим подобные члены:

3a - 7 + 4 - a

(3a - a) + (-7 + 4)

2a - 3

2. (8b + 12) - (2 - 5b)

Раскроем скобки и сложим подобные члены:

8b + 12 - 2 + 5b

(8b + 5b) + (12 - 2)

13b + 10

Итак, решение данных выражений:

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

2. (8b + 12) - (2 - 5b) = 13b + 10

Answer 2

Ответ:

Объяснение:

(3а - 7) + (4 - а) = 3а - 7 + 4 - а =

(3а - а) + (-7 + 4) = 2а + (-3) = 2а - 3

(8в + 12) - (2 - 5в) = 8в + 12 - 2 + 5в =

(8в + 5в) + (12 - 2) = 13в + 10

Answer 3

To simplify the expression (3a-7)+(4-a)(8b+12)-(2-5b), you can follow these steps:

1. Distribute the (4-a) term into the (8b+12) term using the distributive property:

(4-a)(8b+12) = 4(8b) + 4(12) - a(8b) - a(12) = 32b + 48 - 8ab - 12a

2. Distribute the (-1) into the (-5b) term:

(-1)(-5b) = 5b

3. Now, rewrite the expression with the distributed terms:

(3a - 7) + (32b + 48 - 8ab - 12a) - 5b - 2

4. Group like terms together:

3a - 12a = -9a 32b - 5b = 27b -7 + 48 = 41

So the simplified expression is:

-9a + 27b + 41 - 8ab - 5b - 2

Now, you can further simplify by combining like terms:

-9a - 8ab + 27b - 5b + 41 - 2

Combine the 'a' terms:

-9a - 8ab

Combine the 'b' terms:

27b - 5b = 22b

Now, your simplified expression is:

-8ab - 9a + 22b + 41 - 2

Finally, simplify further:

-8ab - 9a + 22b + 39

So, the simplified expression is:

-8ab - 9a + 22b + 39