Question
How are Pascal’s triangle and binomial expansion such as 
related?
The correct answer is: Here, the coefficients of the expansions are the elements of the sixth row of the Pascal’s triangle.
ANSWER:
Hint:
Pascal's Triangle gives us the coefficients for an expanded binomial of the form (a + b)n, where n is the row of the triangle. The Binomial Theorem tells us we can use these coefficients to find the entire expanded binomial, with a couple extra tricks thrown in.
Step 1 of 1:
Pascal's Triangle is a method to know the binomial coefficients of terms of binomial expression (x + y)n, where n can be any positive integer and x,y are real numbers. Pascal Triangle is represented in a triangular form, it is kind of a number pattern in the form of a triangular arrangement.
The binomial expansion of is:
Here, the coefficients of the expansions are the elements of the sixth row of the Pascal’s triangle.
Note:
You can find the expansion of 
using both Pascal’s triangle and binomial expansion
Related Questions to study
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.
.
