# Common Core: High School - Algebra : Polynomial Identities and Numerical Relationships: CCSS.Math.Content.HSA-APR.C.4

## Example Questions

### Example Question #21 : Polynomial Identities And Numerical Relationships: Ccss.Math.Content.Hsa Apr.C.4

Use FOIL for the following expression.

Explanation:

The first step is to rewrite the problem as follows.

Now we multiply the first parts of the first and second expression together.

Now we multiply the first term  of the first expression with the second term of the second expression.

Now we multiply the second term of the first expression with the first term of the second expression.

Now we multiply the last terms of each expression together.

Now we add all these results together, and we get.

### Example Question #21 : Polynomial Identities And Numerical Relationships: Ccss.Math.Content.Hsa Apr.C.4

Use FOIL for the following expression.

Explanation:

The first step is to rewrite the problem as follows.

Now we multiply the first parts of the first and second expression together.

Now we multiply the first term  of the first expression with the second term of the second expression.

Now we multiply the second term of the first expression with the first term of the second expression.

Now we multiply the last terms of each expression together.

Now we add all these results together, and we get.

### Example Question #191 : Arithmetic With Polynomials & Rational Expressions

Use FOIL for the following expression.

Explanation:

The first step is to rewrite the problem as follows.

Now we multiply the first parts of the first and second expression together.

Now we multiply the first term  of the first expression with the second term of the second expression.

Now we multiply the second term of the first expression with the first term of the second expression.

Now we multiply the last terms of each expression together.

Now we add all these results together, and we get.

### Example Question #23 : Polynomial Identities And Numerical Relationships: Ccss.Math.Content.Hsa Apr.C.4

Use FOIL for the following expression.

Explanation:

The first step is to rewrite the problem as follows.

Now we multiply the first parts of the first and second expression together.

Now we multiply the first term  of the first expression with the second term of the second expression.

Now we multiply the second term of the first expression with the first term of the second expression.

Now we multiply the last terms of each expression together.

Now we add all these results together, and we get.

### Example Question #24 : Polynomial Identities And Numerical Relationships: Ccss.Math.Content.Hsa Apr.C.4

Use FOIL for the following expression.

Explanation:

The first step is to rewrite the problem as follows.

Now we multiply the first parts of the first and second expression together.

Now we multiply the first term  of the first expression with the second term of the second expression.

Now we multiply the second term of the first expression with the first term of the second expression.

Now we multiply the last terms of each expression together.

Now we add all these results together, and we get.

### Example Question #25 : Polynomial Identities And Numerical Relationships: Ccss.Math.Content.Hsa Apr.C.4

Use FOIL for the following expression.

Explanation:

The first step is to rewrite the problem as follows.

Now we multiply the first parts of the first and second expression together.

Now we multiply the first term  of the first expression with the second term of the second expression.

Now we multiply the second term of the first expression with the first term of the second expression.

Now we multiply the last terms of each expression together.

Now we add all these results together, and we get.

### Example Question #26 : Polynomial Identities And Numerical Relationships: Ccss.Math.Content.Hsa Apr.C.4

Use FOIL for the following expression.

Explanation:

The first step is to rewrite the problem as follows.

Now we multiply the first parts of the first and second expression together.

Now we multiply the first term  of the first expression with the second term of the second expression.

Now we multiply the second term of the first expression with the first term of the second expression.

Now we multiply the last terms of each expression together.

Now we add all these results together, and we get.

### Example Question #28 : Polynomial Identities And Numerical Relationships: Ccss.Math.Content.Hsa Apr.C.4

Use FOIL for the following expression.

Explanation:

The first step is to rewrite the problem as follows.

Now we multiply the first parts of the first and second expression together.

Now we multiply the first term  of the first expression with the second term of the second expression.

Now we multiply the second term of the first expression with the first term of the second expression.

Now we multiply the last terms of each expression together.

Now we add all these results together, and we get.

### Example Question #29 : Polynomial Identities And Numerical Relationships: Ccss.Math.Content.Hsa Apr.C.4

Use FOIL for the following expression.

Explanation:

The first step is to rewrite the problem as follows.

Now we multiply the first parts of the first and second expression together.

Now we multiply the first term  of the first expression with the second term of the second expression.

Now we multiply the second term of the first expression with the first term of the second expression.

Now we multiply the last terms of each expression together.

Now we add all these results together, and we get.

### Example Question #27 : Polynomial Identities And Numerical Relationships: Ccss.Math.Content.Hsa Apr.C.4

Use FOIL for the following expression.

Explanation:

The first step is to rewrite the problem as follows.

Now we multiply the first parts of the first and second expression together.

Now we multiply the first term  of the first expression with the second term of the second expression.

Now we multiply the second term of the first expression with the first term of the second expression.

Now we multiply the last terms of each expression together.

Now we add all these results together, and we get.