Question
Use polynomial identities to factor the polynomials or simplify the expressions :
The correct answer is: Thus, the answer is 10^3 - 3^3 = 973
ANSWER:
Hint:
, here a and b can be real values, variables or multiples of both.
We are asked to use polynomial identities to factorize the given expression.
Step 1 of 2:
The given expression is 
Step 2 of 2:
Use the polynomial identity to find the answer of the expression;
Thus, the answer is 
Note:
Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.
Related Questions to study
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.
Use polynomial identities to factor the polynomials or simplify the expressions :
Use polynomial identities to factor the polynomials or simplify the expressions :
Explain why the middle term 
is 10x.
Explain why the middle term is 10x.
Use polynomial identities to factor the polynomials or simplify the expressions :
Use polynomial identities to factor the polynomials or simplify the expressions :
How can you use polynomial identities to rewrite expressions efficiently ?
How can you use polynomial identities to rewrite expressions efficiently ?
Use binomial theorem to expand
Use binomial theorem to expand
Use polynomial identities to factor the polynomials or simplify the expressions :
Use polynomial identities to factor the polynomials or simplify the expressions :
Use binomial theorem to expand .
Use binomial theorem to expand .
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 (a + b)5 related?
You can find the expansion of (x + y)n using both Pascal’s triangle and binomial expansion.
How are Pascal’s triangle and binomial expansion such as (a + b)5 related?
You can find the expansion of (x + y)n using both Pascal’s triangle and binomial expansion.
Use binomial theorem to expand .
Use binomial theorem to expand .
Use polynomial identities to factor the polynomials or simplify the expressions :
Use polynomial identities to factor the polynomials or simplify the expressions :
Explain why the middle term is 10x.
In the Binomial Expansion's middle term, in the expansion of (a + b)n, there are (n + 1) terms. Therefore, we can write the middle term or terms of (a + b)n based on the value of n. It follows that there will only be one middle term if n is even and two middle terms if n is odd.
The binomial expansions of (x + y)n are used to find specific terms, such as the term independent of x or y.
Practice Questions
1. Find the expansion of (9x - 2y)12's coefficient of x5y7.
2. In the expansion of (2x - y)11, locate the 8th term.
Explain why the middle term is 10x.
In the Binomial Expansion's middle term, in the expansion of (a + b)n, there are (n + 1) terms. Therefore, we can write the middle term or terms of (a + b)n based on the value of n. It follows that there will only be one middle term if n is even and two middle terms if n is odd.
The binomial expansions of (x + y)n are used to find specific terms, such as the term independent of x or y.
Practice Questions
1. Find the expansion of (9x - 2y)12's coefficient of x5y7.
2. In the expansion of (2x - y)11, locate the 8th term.
.
