When you factor an expression, you are separating it into its basic parts. When you multiply those parts back together, you should obtain the original expression.

The first step when factoring an expression is to see if all of the terms have something in common. In this case, , , and all have an which can be taken out:

The next step is to focus on what's in the parentheses. To factor an expression of form , we want to try to find factors , where and . We therefore need to look at the factors of to see if we can find two that add to :

We've found our factors! We can therefore factor what's inside the parentheses, , as . If we remember the we factored out to begin with, our final completely factored answer is:

To factor an equation in the form , where and , you must find factors of that add up to .

List the factors of 36 and add them together:

Since , is the factor we need. Plug this factor in to get the final answer.

To factor an equation in the form , where and , you must find factors of that add up to .

List the factors of 36 and add them together:

Since , is the factor we need. Plug this factor in to get the final answer.

Use the order of operations: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

We want to solve what's in the parentheses first.

Now, do the division and the multiplication.

Therefore our equation becomes:

Finally, subtract.

When you factor an expression, you are separating it into its basic parts. When you multiply those parts back together, you should obtain the original expression.

The first step when factoring an expression is to see if all of the terms have something in common. In this case, , , and all have an which can be taken out:

The next step is to focus on what's in the parentheses. To factor an expression of form , we want to try to find factors , where and . We therefore need to look at the factors of to see if we can find two that add to :

We've found our factors! We can therefore factor what's inside the parentheses, , as . If we remember the we factored out to begin with, our final completely factored answer is:

Use the order of operations: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

We want to solve what's in the parentheses first.

Now, do the division and the multiplication.

Therefore our equation becomes:

Finally, subtract.

The correct answer is due to the law of exponents. When solving this type of problem, it is easiest to focus on like terms (i.e. terms containing x or terms containing y).

First we can start by simplifying the 'x' terms. We start with which is equivalent to . We then are left with .

Now we can simplify the 'y' terms as follows: .

Last, the 'z' terms can be simplified as follows: .

This leaves us with the final simplified answer of .

We start with what is inside the parentheses, so becomes .

Next, we take care of any exponents, giving us .

Next, we take care of multiplication/division, giving us or .

Finally, we carry out our addition/subtraction, leaving us with .

The correct answer is due to the law of exponents. When solving this type of problem, it is easiest to focus on like terms (i.e. terms containing x or terms containing y).

First we can start by simplifying the 'x' terms. We start with which is equivalent to . We then are left with .

Now we can simplify the 'y' terms as follows: .

Last, the 'z' terms can be simplified as follows: .

This leaves us with the final simplified answer of .

When dividing terms with the same bases, remember to subtract the exponents.

Keep in mind that when there is a negative exponent in the numerator, putting that term in the denominator will make the exponent positive.