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: = (x - 6)(x2 + 6x + 36)
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 using identities, which would speed up the process and make it simple.
Here, the given expression is x3 - 216, which can be written as: x3 - 63
Step 2 of 2:
Apply the polynomial identity to factorize the expression x3 - 216:
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
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.
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 multiply expressions ? 41 
39
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 ? 41 39
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 ?
Any expression of the form 
can be expanded using the identity 
rather than using the conventional and time taking method of multiplying them, 
.
How can you use polynomial identities to multiply expressions ?
Any expression of the form can be expanded using the identity rather than using the conventional and time taking method of multiplying them, .
Prove the difference of cubes identity : 
To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.
Prove the difference of cubes identity :
To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.
Prove the sum of cubes identity : 
To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.
Prove the sum of cubes identity :
To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.
