Question

# How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

## The correct answer is: We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

### ANSWER:

Hint:

, where a and b can be real numbers, variables or multiples of both.

We are asked to explain on how the polynomial identities can be used to factorize polynomials and simplify them.

Step 1 of 2:

Factoring a polynomial is the process of decomposing a polynomial into a product of two or more polynomials. This can be done with the help of identities, which would speed up the process and make it simple.

Here, the given expression is . This can be written as: where .

Step 2 of 2:

Substitute the values in the expression for factorization:

Note:

We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

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You could also get the value of from by just multiplying a ( x + y) with .

### How is ( x + y )^{n} obtained from (x + y)^{n-1}

You could also get the value of from by just multiplying a ( x + y) with .

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This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.

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This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.

### How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

### How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

### How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

### How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

### How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

### How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

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### How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

### How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

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We use polynomial identities to reduce the time and space while solving polynomial expressions and equations.

### How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

We use polynomial identities to reduce the time and space while solving polynomial expressions and equations.

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### How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.