Question

A+(a-10)-(12+a) 16+3(2-3y)+8y 15-5(1-a)-6a

Answer 1

$1) \: \: a + (a - 10) - (12 + a) = a + a - 10 - 12 - a = \\ = a - 22$
$2) \: 16 + 3(2 - 3y) + 8y = 16 + 6 - 9y + 8y = \\ = 22 - y$

$3) \: \: 15 - 5(1 - a) - 6a = 15 - 5 + 5a - 6a = \\ = 10 - a$

Answer 2

Let's simplify each expression step by step:

1. A+(a-10)-(12+a) Expand the brackets: A + a - 10 - 12 - a

Combine like terms: (A + a - a) - (10 + 12) A - 22

The simplified expression is: A - 22

2. 16 + 3(2-3y) + 8y First, solve the expression inside the parentheses: 2 - 3y

Now, distribute the 3 to each term inside the parentheses: 3 * 2 - 3 * 3y 6 - 9y

Now the expression becomes: 16 + 6 - 9y + 8y

Combine like terms: 22 - y

The simplified expression is: 22 - y

3. 15 - 5(1-a) - 6a First, solve the expression inside the parentheses: 1 - a

Now, distribute the -5 to each term inside the parentheses: -5 * 1 - (-5 * a) -5 + 5a

Now the expression becomes: 15 - 5a - 6a

Combine like terms: 15 - 11a

The simplified expression is: 15 - 11a

So, the simplified expressions are:

1. A - 22
2. 22 - y
3. 15 - 11a