please help this is urgent!!!

Question

1: simplify the expression and explain each step.

12 + 3(2y - 3)

 

2: factor the expression completely

18b - 12

Answer 1

1) In order to simplify the expression, we have to expand it and combine like terms as follows:

step 1, distribute the 3. 12 + 6y - 9
step 2, combine like terms 6y + 3
step 3, if asked to do so, re-factor 3(2y+1)


2) In order to factor we must find out what the greatest common factor (GCF) is. So we ask ourselves, what is the biggest whole number that both 18 and 12 are divisible by? The answer is 6, therefore, 6 is the GCF. So 6 is what we factor out of the expression.

The answer is 6(3b - 2)

Answer 2

1.

We use PEMDAS or Parentheses Exponents Multiplication Division Addition Subtraction

 

Parentheses: 3(2y-3)

-distribute the 3 to the 2y and the -3 using multiplication

-it will become 6y-9

 

Now the equation reads 12 + 6y -9

 

Addition: 12 - 9 = 3

-becomes 6y +3

-no more like terms so that is your final answer

 

2.

Determine the largest number that goes into both 18 and 12

-you should come up with 6

-divide 6 by each number

-it should be 6(3b-2)