Question
Dakota said the third term of the expansions of 
.Explain Dakota’s error and then correct the answer.
Hint:
The binomial expansion is 
, here n ≥ 0 . We are asked to describe and correct the mistake Dakota made in the expansion of the expression 
.
The correct answer is: 4C2
Step 1 of 2:
The given expression is , here x = 2g & y = 3h.
Thus, the expansion would be:
Step 2 of 2:
Analyzing the expansion, find the coefficient of g2h2. The value is: 216 Dakota got the wrong answer because she did not count the value 4C2 .
Step 2 of 2:
Analyzing the expansion, find the coefficient of g2h2. The value is: 216 Dakota got the wrong answer because she did not count the value 4C2 .
You can use Both the Pascal’s triangle and binomial expansion to find the value of (x + y)n .
Related Questions to study
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.
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.
