Question
Use polynomial identities to multiply the expressions;
The correct answer is: Hence, the answer is: 729.
ANSWER:
Hint:
Let a and b be any real number, variables or multiples of the both, then we have: .
We are asked to use the polynomial identities to multiply the given expression.
Step 1 of 2:
The given expression is .
Here, 
.
Use the identity for the expression
Step 2 of 2:
Now, substitute the value in the equation to get the value of :
.
=729
Hence, the answer is:729 .
Note:
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Related Questions to study
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.
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, .
