When you are asked to find the product that means we are going to multiply. Because we are multiplying and dividing in this question, we do not need to use parentheses because with multiplication and division you work the problem out from left to right. So first we have the division problem, then we multiply because it says to find the product of the quotient (answer to a division problem), which means we need to divide first. 

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.  

Because of our order of operations, the division problem needs to come first. We list the subtraction  last because we are subtracting a number by the quotient, so the quotient needs to be listed first. 

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.  

 needs to be listed first because that's the number that is getting divided. However, we need to do the multiplication problem first to find out what number we are dividing into , so we need to put the multiplication problem into parentheses. 

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.  

Difference means the answer to a subtraction problem. Because we are adding a number to the difference, we need to do the subtraction problem first. Since we are adding and subtracting in this question, we do not need to use parentheses because with addition and subtraction you work the problem out from left to right. So first we have the subtraction problem, then we add. 

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.  

Product means the answer to a multiplication problem. Becuase of our order of operation rules, the multiplication problem will come first, regardless of if it's listed first or second. Then we add. 

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.  

To simplify this expression, first apply the distributive property. The 3 must be distributed to all of the terms that are inside the parentheses.

Rewrite the expression:

Combine like terms. In this expression  and   are like terms. They are like terms because each term consists  and a numeric coefficient. Add the coefficients of these terms. Addition is the operation that you would use denoted by a plus sign next to the x. Because there are no other terms to combine, this is the correct answer.

To simplify this expression, first apply the distributive property.  

Rewrite the expression:

Combine like terms:

The constant, which is , has no other constants to perform any type of operation with, therefore, rewrite the expression.  Even though the constant was first placed in the beginning of the expression, in the simplified version, the constant always comes at the end of the algebraic expression.

 is the correct answer.

To simplify this expression, apply the distributive property:

Rewrite the expression:

Notice the signs have changed with some of the terms (,  , and the constant  because of the subtraction sign.

Combine like terms:

 is the correct answer.

Some algebraic expressions require multiplying or dividing exponential terms. Rather than computing each exponential term and multiplying or dividing manually, simply add exponents when multiplying and subtract when dividing to save time. This concept can also be used to simplify variable expressions. 

  is the correct answer.

To simplify this algebraic expression, apply the distributive property:

 is the correct answer.