Question

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

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.

## The correct answer is: = (3x3 - 7y2)(9x6 + 21x3y2+49y4)

### 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:

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

### Related Questions to study

### 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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### Use polynomial identities to multiply the expressions ?

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### 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.

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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 ?

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.

### Use polynomial identities to multiply the expressions ?

### Use polynomial identities to multiply the expressions ?

### Use polynomial identities to multiply the expressions;

### Use polynomial identities to multiply the 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.

### Use polynomial identities to multiply the expressions ?

### Use polynomial identities to multiply the expressions ?

### Use polynomial identities to multiply the expressions ?

### Use polynomial identities to multiply the expressions ?

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

Factorization of polynomial of higher degree can be done by polynomial identities. This is used to reduce time and space.

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

Factorization of polynomial of higher degree can be done by polynomial identities. This is used to reduce time and space.

### Use polynomial identities to multiply the expressions ?

### Use polynomial identities to multiply the expressions ?

### Use polynomial identities to multiply the expressions;

Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.

### Use polynomial identities to multiply the expressions;

Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.