How to use the distributive property in pre-algebra - Math
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Which of the following is equivalent to
?
Which of the following is equivalent to ?
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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:

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:
Expand:

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

and

Therefore, 5(2 + y) = 10 + 5y.
Distribute the by multiplying it by each term inside the parentheses.
and
Therefore, 5(2 + y) = 10 + 5y.
Expand:

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



Add the terms together:

Use the distributive property. Do not forget that the negative sign needs to be distributed as well!
Add the terms together:
Distribute:

Distribute:
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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:

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:
Simplify the expression.

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




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

Simplify the expression.
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Use the distributive property to multiply each term by
.

Simplify.

Use the distributive property to multiply each term by .
Simplify.
Evaluate the following expression:

Evaluate the following expression:
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Recall the distributive property. We need to multiply the outside factor by both terms inside and then combine.
Thus,

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

Distribute:
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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:

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:
Find the value of
.
Find the value of .
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We can seperate the problem into two steps:


We then combine the two parts:

We can seperate the problem into two steps:
We then combine the two parts:
Distribute
.
Distribute .
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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.
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.
Simplify the expression.

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



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

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

Recall that the distributive property requires that we multiply the outside term by both terms in parentheses and add the results.
Which of the following is equivalent to
?
Which of the following is equivalent to ?
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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:

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:
Expand:

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

and

Therefore, 5(2 + y) = 10 + 5y.
Distribute the by multiplying it by each term inside the parentheses.
and
Therefore, 5(2 + y) = 10 + 5y.
Expand:

Expand:
Tap to see back →

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



Add the terms together:

Use the distributive property. Do not forget that the negative sign needs to be distributed as well!
Add the terms together:
Distribute:

Distribute:
Tap to see back →
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:

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:
Simplify the expression.

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




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

Simplify the expression.
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Use the distributive property to multiply each term by
.

Simplify.

Use the distributive property to multiply each term by .
Simplify.
Evaluate the following expression:

Evaluate the following expression:
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Recall the distributive property. We need to multiply the outside factor by both terms inside and then combine.
Thus,

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

Distribute:
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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:

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: