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: m8 - 9n10 = (m4 - 3n5)(m4 + 3n5)

### Step 1 of 2:

The given expression is . It can be written as, . Here, . Thus, we can apply the identity to simplify the expression.

Step 2 of 2:

Simplifying the expression, we get:

Thus, the simplified expression is:

Thus, the simplified expression is:

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

### Related Questions to study

### Use polynomial identities to multiply the expressions ?

18 × 22

### Use polynomial identities to multiply the expressions ?

18 × 22

### 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 ?

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.

### How can you use polynomial identities to multiply expressions ?

### How can you use polynomial identities to multiply 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.