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.

To simplify this algebraic expression, factor the numerator and the denominator using FOIL.

The  will cancel out.

The correct answer is

To simplify this algebraic expression, factor the denominator using the FOIL method.

The 

Solve:

To simplify, factor the numerator using the FOIL Method:

Rewrite the expression:

To reduce the expression, you need a common factor to take out from each part of the equation.  

All the constants can be divided by  so you just divide the whole equation by that to get,

.

To solve this equation, begin by using the Order of Operations.  The first operation will be the one that is contained within the parentheses.  When a term with an exponent is raised to a power, multiply the exponents.

Rewrite the expression:

Simplify by combining like terms:

There is one more step. The terms must be placed in descending order based upon the exponents. In this equation, the term  , has the largest exponent so it will go first followed by  which has an exponent of 1.  Constants are placed last in the equation.

To simplify this algebraic expression, combine like terms. Make sure to distribute the minus sin to all terms and constants within the parentheses. 

 is the correct answer.

When solving this problem we need to remember our order of operations, or PEMDAS. 

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Parentheses: We are not able to add a variable  to a number, so we move to the next step. 

Multiplication: We can distribute (or multiply) the . 

Addition/Subtraction: Remember, we can't add a variable  to a number, so the  is left alone.

Now we have 

When solving this problem we need to remember our order of operations, or PEMDAS. 

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Parentheses: We are not able to add a variable  to a number, so we move to the next step. 

Multiplication: We can distribute (or multiply) the . 

Addition/Subtraction: Remember, we can't add a variable  to a number, so the  is left alone.