How to multiply polynomials in pre-algebra - Math
Card 1 of 72
What is
of
?
What is of
?
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Convert
% to a decimal, which is
.
Then multiply
by
to get
.
Convert % to a decimal, which is
.
Then multiply by
to get
.
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Simplify:

Simplify:
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First you look at the
. Nine is a perfect square, meaning
. Because the negative sign is outside the radical, you add it in at the end of the problem, after
=
. Therefore, the answer is
.
First you look at the . Nine is a perfect square, meaning
. Because the negative sign is outside the radical, you add it in at the end of the problem, after
=
. Therefore, the answer is
.
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Tap to reveal answer
First you multiply the coefficients
and
. Then you use the rules of exponents to add the exponents
because you are multiplying the bases. This becomes
. You then combine the two parts to equal
.
First you multiply the coefficients and
. Then you use the rules of exponents to add the exponents
because you are multiplying the bases. This becomes
. You then combine the two parts to equal
.
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Multiply to find the polynomial.

Multiply to find the polynomial.
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Multiply using the FOIL method.
First: 
Outside: 
Inside: 
Last: 
Add the terms together to get the final expression.

Multiply using the FOIL method.
First:
Outside:
Inside:
Last:
Add the terms together to get the final expression.
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Multiply to find the polynomial.

Multiply to find the polynomial.
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Multiply using the FOIL method.
First: 
Outside: 
Inside: 
Last: 
Add the terms to get the final expression.

Multiply using the FOIL method.
First:
Outside:
Inside:
Last:
Add the terms to get the final expression.
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What is the product of
and
?
What is the product of and
?
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In order to simplify this problem distribute
to each component of
.

Distribute.

Multiply and simplify.

In order to simplify this problem distribute to each component of
.
Distribute.
Multiply and simplify.
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What is
?
What is ?
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When multiplying polynomials you add the powers of each like-termed polynomial together to find the answer.
In this example the powers are
and
which add to
.
Therefore our answer is
.
When multiplying polynomials you add the powers of each like-termed polynomial together to find the answer.
In this example the powers are and
which add to
.
Therefore our answer is .
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Tap to reveal answer
When multiplying polynomials you add the powers of each like-termed polynomial together to find the answer.
In this example the powers are
and
which add to
.
Therefore our answer is 
When multiplying polynomials you add the powers of each like-termed polynomial together to find the answer.
In this example the powers are and
which add to
.
Therefore our answer is
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Simplify the expression.

Simplify the expression.
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To simplify, we need to multiply all terms together. It is easiest to re-order the expression and group like terms together.


Now we can simplify.

To simplify, we need to multiply all terms together. It is easiest to re-order the expression and group like terms together.
Now we can simplify.
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What is
simplified?
What is simplified?
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When multiplying polynomials you add the powers of each like-termed polynomial together so we add the powers of each like-termed variable to find the answer.
In this example the exponents are
and
so 
Our answer is
.
When multiplying polynomials you add the powers of each like-termed polynomial together so we add the powers of each like-termed variable to find the answer.
In this example the exponents are and
so
Our answer is .
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What is
simplified?
What is simplified?
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When multiplying polynomials, add the powers of each like termed polynomial together to find the answer.
In this example the variables are
,
and
so 
Our answer is
.
When multiplying polynomials, add the powers of each like termed polynomial together to find the answer.
In this example the variables are ,
and
so
Our answer is .
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What is
simplified?
What is simplified?
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When multiplying monomials with the same base, you simply add the exponents together.
In this example the monomials are
,
, and
so
.
Our answer is
.
When multiplying monomials with the same base, you simply add the exponents together.
In this example the monomials are ,
, and
so
.
Our answer is .
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Multiply the terms.

Multiply the terms.
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Solve using the FOIL method. Don't forget to include the negative sign!
First: 
Outside: 
Inside: 
Last: 
Add together, and combine like terms.


Solve using the FOIL method. Don't forget to include the negative sign!
First:
Outside:
Inside:
Last:
Add together, and combine like terms.
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Simplify:

Simplify:
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When multiplying variables, you add the exponents of each like-termed variable together to find the answer.
In this example, the exponents are
and
so
.
Our answer is
.
When multiplying variables, you add the exponents of each like-termed variable together to find the answer.
In this example, the exponents are and
so
.
Our answer is .
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Simplify 
Simplify
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When multiplying polynomials you add the powers of each like-termed variable together.
In this example the variables are raised to the
and
so
will be the power of
in our answer.
Then we multiply the numbers in front of our variables to get
.
Combine the number and our new variable to get the answer
.
When multiplying polynomials you add the powers of each like-termed variable together.
In this example the variables are raised to the and
so
will be the power of
in our answer.
Then we multiply the numbers in front of our variables to get .
Combine the number and our new variable to get the answer .
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Combine into a single simplified fraction:

Combine into a single simplified fraction:
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Multiply to get a common denominator:

Next, using FOIL (first, outer, inner, last) remove the parantheses and then combine like terms to get:

Multiply to get a common denominator:
Next, using FOIL (first, outer, inner, last) remove the parantheses and then combine like terms to get:
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Simplify
.
Simplify .
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Use the distributive property:

Use the distributive property:
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The length of a particular rectangle is
greater than the width of the rectangle. If the perimeter of the rectangle is
, what is the area of the rectangle?
The length of a particular rectangle is greater than the width of the rectangle. If the perimeter of the rectangle is
, what is the area of the rectangle?
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If the width is
, then the length is
. The perimeter equals
, so
.
solving for
, we have 
, the width, so the length is
.
Then, to find the area we multiply
times
, which equals
.
If the width is , then the length is
. The perimeter equals
, so
.
solving for , we have
, the width, so the length is
.
Then, to find the area we multiply times
, which equals
.
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What is
of
?
What is of
?
Tap to reveal answer
Convert
% to a decimal, which is
.
Then multiply
by
to get
.
Convert % to a decimal, which is
.
Then multiply by
to get
.
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Simplify:

Simplify:
Tap to reveal answer
First you look at the
. Nine is a perfect square, meaning
. Because the negative sign is outside the radical, you add it in at the end of the problem, after
=
. Therefore, the answer is
.
First you look at the . Nine is a perfect square, meaning
. Because the negative sign is outside the radical, you add it in at the end of the problem, after
=
. Therefore, the answer is
.
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