Question

Розкрити дужки і спростити вираз : 1) 4 ( 8a - 5 ) + 5a ; 2) 2 ( b - 1 ) -2b + 13 ; 3) 3,7 ( a - b ) +4,2 ( a + b ) ; 4 ) 15-4 ( 1 - a ) -8a ; 5 ) - ( - 2,8-14b ) + ( 7b - 2 ) - ( -3); 6 ) 3 ( 6x - 16y ) -3 ( 12x - 3y ) Помогите решить!

Answer 1

Ответ:

1) 32а - 20 + 5а = 37а - 20

2) 2b -2 -2b + 13 = 11

3) 3,7a - 3,7b + 4,2a + 4,2b = 7,9a + 0,5b

4) 15 - 4 - 4a - 8a = 11 - 12a

5) 2,8 + 14b + 7b - 2 + 3 = 3,8 + 21b

6) 18x - 54y - 36x + 9y = -18x - 45y

Answer 2

1. 4(8a - 5) + 5a

First, distribute the 4 to both terms inside the parentheses: 4 * 8a - 4 * 5 + 5a

Simplify: 32a - 20 + 5a

Combine like terms: 37a - 20

2. 2(b - 1) - 2b + 13

Distribute the 2 to both terms inside the parentheses: 2b - 2 - 2b + 13

Combine like terms: (2b - 2b) + (-2 + 13)

Simplify: 0 + 11

Result: 11

3. 3.7(a - b) + 4.2(a + b)

Distribute 3.7 and 4.2 to the terms inside the parentheses: 3.7a - 3.7b + 4.2a + 4.2b

Combine like terms: (3.7a + 4.2a) + (-3.7b + 4.2b)

Simplify: 8.9a + 0.5b

Result: 8.9a + 0.5b

4. 15 - 4(1 - a) - 8a

First, distribute the 4 to the terms inside the parentheses: 15 - 4 + 4a - 8a

Combine like terms: (-4a - 8a) + (15 - 4)

Simplify: -12a + 11

Result: -12a + 11

5. -(-2.8 - 14b) + (7b - 2) - (-3)

Negate the terms inside the first set of parentheses: 2.8 + 14b + 7b - 2 - (-3)

Simplify the double negative: 2.8 + 14b + 7b - 2 + 3

Combine like terms: (14b + 7b) + (2.8 - 2 + 3)

Simplify: 21b + 3.8

Result: 21b + 3.8

6. 3(6x - 16y) - 3(12x - 3y)

Distribute 3 to both terms inside the first set of parentheses: 18x - 48y - 3(12x - 3y)

Distribute -3 to both terms inside the second set of parentheses: 18x - 48y - 36x + 9y

Combine like terms: (18x - 36x) + (-48y + 9y)

Simplify: -18x - 39y

Result: -18x - 39y