Question

1)-4(n-k)= 2)4m-(m+3n)= 3)-3a-(8b-15a)= 4)b(2x-3y)-2(x+y)= 5)7a(3b+4c)-3a(b+1/3c)=

Answer 1

Ответ:

1) -4n+4k

2)3(m-n)

3)4(3a-2b)

4) 2bx-3dy-2x-2y

5)9a×(2b+3c)

Answer 2

Let's solve each of the given equations step by step:

1. -4(n-k)

To simplify, distribute the -4: -4n + 4k

2. 4m - (m + 3n)

To simplify, distribute the -1 to the terms in the parentheses: 4m - m - 3n

Combine like terms: 3m - 3n

3. -3a - (8b - 15a)

To simplify, distribute the -1 to the terms in the parentheses: -3a - 8b + 15a

Combine like terms: 12a - 8b

4. b(2x - 3y) - 2(x + y)

To simplify, distribute 'b' and '-2' to the terms in the parentheses: 2bx - 3by - 2x - 2y

Combine like terms: (2bx - 2x) + (-3by - 2y) Factor out common terms: 2x(b - 1) - y(3b + 2)

5. 7a(3b + 4c) - 3a(b + 1/3c)

To simplify, distribute '7a' and '-3a' to the terms in the parentheses: 21ab + 28ac - 3ab - a/3c

Combine like terms: (21ab - 3ab) + 28ac - a/3c Factor out common terms: 18ab + 28ac - (1/3)a*c

The simplified forms of the given expressions are as follows:

1. -4n + 4k
2. 3m - 3n
3. 12a - 8b
4. 2x(b - 1) - y(3b + 2)
5. 18ab + 28ac - (1/3)a*c