Question
Use polynomial identities to factor each polynomial : 
Hint:
, where a and b can be real values, variables or multiples of both. We are asked to use polynomial identities to factor the given polynomial.
The correct answer is: polynomial identities
Step 1 of 2:
The given expression is . It can be written as 
. This is of the form a3 - b3 where 
.
Step 2 of 2:
Substitute the values in the expansion to get the factor form. Thus, we have:
Hence, the factor is: 
.
Hence, the factor is:
.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 factor each polynomial : 
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions
Use polynomial identities to factor each polynomial :
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions
Use polynomial identities to multiply each expression 
Any expression of the form (a + b)2 can be expanded using the identity 
rather than using the conventional and time taking method of multiplying them, (a + b)(a + b)
Use polynomial identities to multiply each expression
Any expression of the form (a + b)2 can be expanded using the identity rather than using the conventional and time taking method of multiplying them, (a + b)(a + b)
Use polynomial identities to factor the polynomials or simplify the expressions :
Use polynomial identities to factor the polynomials or simplify the expressions :
Dakota said the third term of the expansions of 
is .Explain Dakota’s error and then correct the answer.
Dakota said the third term of the expansions of is .Explain Dakota’s error and then correct the answer.
Use polynomial identities to multiply each expression .
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Use polynomial identities to multiply each expression .
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
What number does C3 represent in the expansion 
? Explain.
What number does C3 represent in the expansion ? Explain.
Dakota said the third term of the expansions of .Explain Dakota’s error and then correct the answer.
You can use Both the Pascal’s triangle and binomial expansion to find the value of (x + y)n .
Dakota said the third term of the expansions of .Explain Dakota’s error and then correct the answer.
You can use Both the Pascal’s triangle and binomial expansion to find the value of (x + y)n .
What number does C3 represent in the expansion ? Explain.
The value 
is called the combination permutation.
What number does C3 represent in the expansion ? Explain.
The value is called the combination permutation.
Explain how to use a polynomial identity to factor .
Explain how to use a polynomial identity to factor .
Use polynomial identities to factor the polynomials or simplify the expressions :
Use polynomial identities to factor the polynomials or simplify the expressions :
How are Pascal’s triangle and binomial expansion such as 
related?
How are Pascal’s triangle and binomial expansion such as related?
Explain how to use a polynomial identity to factor .
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Explain how to use a polynomial identity to factor .
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
is 10x.
