Whole Numbers - Math

Combine like terms: . Remember you can only combine terms that have the same variables, for example and , but not and

First, distribute the negative sign into the parentheses.

Next, combine like terms.

Note that all operations in this problem are addition and subtraction; there is no need to FOIL or multiply.

To simplify a problem like the example above we must combine the like termed variables.

Like terms are the numbers that have the same variable, in this example, and .

Separate the 's to get .

Then perform the necessary subtraction to get .

Then separate the 's to get .

Then perform the necessary subtraction to get .

We then combine our answers to have the simplified version of the equation .

Re-write the expression to group like terms together.

Simplify.

To simplify a problem like the example above we must combine the like termed variables.

Like terms are the numbers that have the same variable, in this example, and .

Separate the 's to get .

Then perform the necessary subtraction and addition with the numbers in front of the variables to get or .

Then separate the ’s to get .

Then perform the necessary subtraction to get .

We then combine our answers to have the simplified version of the equation .

To simplify a problem like the example above we must combine the like-termed variables.

Like terms are the terms that share the same variable(s) to the same power. In this example the like term is .

To combine like terms the variable stays the same and you add the numbers in front.

Perform the necessary addition, , to get .

We have the simplified version of the equation, .

When combining like terms, the order of operations must also be taken into account.

then combine the x squared terms to get the answer.

Distribute the by multiplying it by each term inside the parentheses.

and

Therefore, 5(2 + y) = 10 + 5y.

We need to distribute -3 by multiplying both terms inside the parentheses by -3.:

.

Now we can multiply and simplify. Remember that multiplying two negative numbers results in a positive number:

Use the distributive property. Do not forget that the negative sign needs to be distributed as well!

Add the terms together:

Remember that a negative multiplied by a negative is positive, and a negative multiplied by a positive is negative.

Distribute the through the parentheses by multiplying it by each of the two terms:

Multiply the mononomial by each term in the binomial, using the distributive property.

Use the distributive property to multiply each term by .

Simplify.

When distributing with negative numbers we must remember to distribute the negative to all of the terms in the parentheses.

Remember, a negative multiplied by a negative is positive, and a negative multiplied by a positive number is negative.

Distribute the through the parentheses:

Perform the multiplication, remembering the positive/negative rules:

We can seperate the problem into two steps:

We then combine the two parts:

When distributing with negative numbers we must remember to distribute the negative to all of the variables in the parentheses.

Distribute the through the parentheses by multiplying it with each object in the parentheses to get .

Perform the multiplication remembering the positive/negative rules to get , our answer.

Use the distributive property to multiply each term of the polynomial by . Be careful to distribute the negative as well.

Recall that the distributive property requires that we multiply the outside term by both terms in parentheses and add the results.

Recall the distributive property. We need to multiply the outside factor by both terms inside and then combine.

Thus,

Remember the order of operations: "PEMDAS” or "Please Excuse My Dear Aunt Sally" stands for "Parentheses, Exponents, Multiplication and Division, Addition and Subtraction".