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