How to use the distributive property in pre-algebra - Math

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

and

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

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.

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

Thus,

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.

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: