Question

A) 3-17a-11(2a-3) b) 16+3(2-3y)+8y c) a-(a-(2a-4)) d) 4y-(3y-(2y-(y+1)))

Answer 1

A) 3-17a-11(2a-3) = 3 - 17а - 22а + 33 = 36 - 39а

b) 16+3(2-3y)+8y = 16 + 6 - 9у + 8у = 22 - у

c) a-(a-(2a-4)) = а - (а - 2а + 4) = а - а + 2а - 4 = 2а - 4

d) 4y-(3y-(2y-(y+1))) = 4у - (3у - (2у - у - 1)) = 4у - (3у - у + 1) = 2у - 1

Answer 2

Let's simplify each expression step by step:

a) 3-17a-11(2a-3)

First, distribute the -11 to the terms inside the parentheses: 3 - 17a - 11(2a) + 11(3)

Next, simplify the terms: 3 - 17a - 22a + 33

Combine like terms: -39a + 36

So the simplified expression is -39a + 36.

b) 16 + 3(2-3y) + 8y

Start by simplifying the expression inside the parentheses: 16 + 3(2) - 3(3y) + 8y

Multiply: 16 + 6 - 9y + 8y

Combine like terms: 22 - y

Therefore, the simplified expression is 22 - y.

c) a - (a - (2a - 4))

Begin by simplifying the expression inside the innermost parentheses: a - (a - 2a + 4)

Next, simplify further: a - (-a + 2a - 4)

Remove the parentheses by changing the signs: a + a - 2a + 4

Combine like terms: 4a + 4

The simplified expression is 4a + 4.

d) 4y - (3y - (2y - (y + 1)))

Start by simplifying the expression inside the innermost parentheses: 4y - (3y - 2y + y + 1)

Combine like terms inside the parentheses: 4y - (3y + y + 1)

Combine like terms outside the parentheses: 4y - 4y - 1

Combine like terms: -1

Therefore, the simplified expression is -1.